02413_03412_04312_12403_13402_14302_21403<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 113, 580, 3120, 17273, 97575, 559890, 3254278, 19122534, 113428213, 678348891, 4086056260, 24769008315, 150993027332, 925095640359, 5693424096486, 35182350881432, 218209707133501, 1357927271975703, 8476291410372843, 53058056183833915, 332977706263408849, 2094646773199320051, 13205695325589384674, 83425311248051442208, 528030304764356090202, 3348026236640105823766, 21263648104586334702641, 135257159898721802323913, 861618679350172555518418, 5496228129000443867905035, 35105477729643235531800639, 224498831472313299169699946, 1437320029123762429015121502, 9212266565721179177208402382, 59105600012218700311907643801, 379592149470412199227228200230, 2440120553055609690360879762394, 15699699360688644644934169092028, 101097233822836150564691593517898, 651535717388888177330525588210309, 4202158916961461404673896287609941, 27122349344161360342547819054374649, 175181796099777036792747317007119930, 1132255901266443103044643362708662082, 7322882526524100816329685004477009053, 47390363066485237937132531738324008065, 306872385952790044527609534651861114252, 1988269825399827564477693761409179169305, 12889411130257329994166999660953841717854, 83603048081272612494185779302449530805233, 542542739738674024774532507714277706895396, 3522577817404775224217687198557420620242839, 22882024240123902276861673936222249206614653, 148705933645508355294380578578569167605897384, 966841625205626598410908328357464511720590452, 6288818829435986964107863404545373769904942377, 40922614046041267909112664404930630780857824288, 266398840383028509440304506596925233283172723806, 1734883791351942466490508925488503424301862489572, 11302440467718812945552708982687140230795962401462, 73660179873840050635952845839616944291837669637497, 480227682235324667702177211659193496164832605588565, 3131921402008389824651977389195091520663291432520992, 20432398484242691264336173286371600627819821621773942, 133342457136088700643048066944631086380014360607472854, 870470635307994074124465181853884786527249745354397203, 5684241154334156798614359676379145892968467841993733961, 37129564476747033198819152887042114827897821124331845324, 242601036672506028864301741389942187231880544248129916563, 1585577510609811382778480705927762713706684052461214208939, 10365757813775496601628759857940113400900284746362376856135, 67784477301221890319925434805128929109623410420093642891686, 443375855316458161464075846875237708158051474859064837678434, 2900838285694462247062799129106656860121084428462780456504268, 18983745279354077407532303729185233665693464246187645528260273, 124263760059231333872194163028477306749710477534638293957502949, 813595823073404713376299550262989316632536104081672580399784540, 5328096297511335594902167812090797124337702819322951621383172573, 34900540694343729263082273418461686002512984558309817257975517697, 228658139255146643480374620125994574838589184590400437160491205284, 1498419313121693544131421285892756218525478239548402669770258359175, 9821325209461178133724722245435661350264183920246753901536422921182, 64386493633167386821348670899219213219551262017200894548425048870676, 422187530867616578523080018969494501729226987049765805442478416958508, 2768853858771912482323486904091731828814878807819775289917402132364877, 18162548805351345605689135411652120732884362636684629329615247516023724, 119160926053375072474481299265792919293160265491017088297591706829642884, 781932935192343561712431837749560595078259122742280482167219930663285670, 5131945155288883948762510430612723542851910313008406210944529344153634597, 33687573334083584970436155438751403561413742339390085347730359959975334552, 221172476016148209618408068507486775846280670604839991431742423767759696680, 1452327368355148868918203637668377515901621151841065864165204768508272391795, 9538246896043395754664117190521161283312473340181390250436006351126337898284, 62652982255475726742485621027866062352276482884993342807702082641840823053259, 411606934631107783114665384830903731177413319559457508317661899340373066051065, 2704518795915450439171868402163406094801849768407763525929326955017742388741103<br /><br />


















  Specification 1<br />
  Strategy pack name: point_and_row_placements_req_corrob_symmetries<br />
  Tree: http://permpal.com/tree/25650/<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[23,x]*F[4,x]<br />
  
    F[4,x] = F[1,x]+F[1477,x]+F[5,x]<br />
  
    F[5,x] = F[23,x]*F[6,x]<br />
  
    F[6,x] = F[4,x]+F[7,x]<br />
  
    F[7,x] = F[8,x]<br />
  
    F[8,x] = F[23,x]*F[9,x]<br />
  
    F[9,x] = F[10,x]+F[1353,x]<br />
  
    F[10,x] = F[11,x]+F[208,x]<br />
  
    F[11,x] = F[12,x]+F[1253,x]<br />
  
    F[12,x] = F[13,x]+F[25,x]<br />
  
    F[13,x] = F[0,x]+F[14,x]<br />
  
    F[14,x] = F[15,x]<br />
  
    F[15,x] = F[16,x]*F[23,x]<br />
  
    F[16,x] = F[1476,x]+F[17,x]<br />
  
    F[17,x] = -F[24,x]+F[18,x]<br />
  
    F[18,x] = 1/F[23,x]*F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = -F[0,x]+F[21,x]<br />
  
    F[21,x] = 1/F[23,x]*F[22,x]<br />
  
    F[22,x] = F[2,x]<br />
  
    F[23,x] = x<br />
  
    F[24,x] = F[1450,x]+F[25,x]<br />
  
    F[25,x] = F[26,x]+F[28,x]<br />
  
    F[26,x] = F[27,x]<br />
  
    F[27,x] = F[18,x]*F[23,x]<br />
  
    F[28,x] = F[29,x]<br />
  
    F[29,x] = F[23,x]*F[30,x]<br />
  
    F[30,x] = F[31,x]+F[509,x]<br />
  
    F[31,x] = F[25,x]+F[32,x]<br />
  
    F[32,x] = F[33,x]<br />
  
    F[33,x] = F[23,x]*F[34,x]<br />
  
    F[34,x] = F[1448,x]+F[35,x]<br />
  
    F[35,x] = F[36,x]+F[38,x]<br />
  
    F[36,x] = F[18,x]*F[37,x]<br />
  
    F[37,x] = (x*F[37,x]^3+(2*x-1)*F[37,x]^2+(x^2-x+1)*F[37,x]+x^2)*(1+F[37,x])<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[23,x]*F[40,x]<br />
  
    F[40,x] = F[1446,x]+F[41,x]<br />
  
    F[41,x] = F[1444,x]+F[42,x]<br />
  
    F[42,x] = F[18,x]*F[43,x]<br />
  
    F[43,x] = F[426,x]+F[44,x]<br />
  
    F[44,x] = F[26,x]+F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[23,x]*F[47,x]<br />
  
    F[47,x] = F[48,x]<br />
  
    F[48,x] = F[23,x]*F[49,x]<br />
  
    F[49,x] = F[1443,x]+F[50,x]<br />
  
    F[50,x] = F[341,x]+F[51,x]<br />
  
    F[51,x] = F[18,x]*F[52,x]<br />
  
    F[52,x] = -F[53,x]+F[6,x]<br />
  
    F[53,x] = F[54,x]+F[62,x]<br />
  
    F[54,x] = F[55,x]<br />
  
    F[55,x] = F[23,x]*F[56,x]<br />
  
    F[56,x] = 1/F[23,x]*F[57,x]<br />
  
    F[57,x] = F[58,x]<br />
  
    F[58,x] = -F[61,x]+F[59,x]<br />
  
    F[59,x] = 1/F[23,x]*F[60,x]<br />
  
    F[60,x] = F[2,x]<br />
  
    F[61,x] = 1+x*F[61,x]^4+F[61,x]^2*(x^2-2*x+3)+F[61,x]^3*(-1-x)+(-2+2*x)*F[61,x]<br />
  
    F[62,x] = F[63,x]<br />
  
    F[63,x] = F[23,x]*F[64,x]<br />
  
    F[64,x] = F[1103,x]+F[65,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = F[67,x]+F[82,x]<br />
  
    F[67,x] = F[68,x]<br />
  
    F[68,x] = F[0,x]*F[69,x]<br />
  
    F[69,x] = F[70,x]+F[71,x]<br />
  
    F[70,x] = F[37,x]*F[61,x]<br />
  
    F[71,x] = F[23,x]*F[72,x]<br />
  
    F[72,x] = F[73,x]<br />
  
    F[73,x] = F[23,x]*F[61,x]*F[74,x]*F[81,x]<br />
  
    F[74,x] = F[1,x]+F[75,x]<br />
  
    F[75,x] = F[76,x]<br />
  
    F[76,x] = F[23,x]*F[77,x]<br />
  
    F[77,x] = F[1,x]+F[78,x]+F[80,x]<br />
  
    F[78,x] = F[79,x]<br />
  
    F[79,x] = F[23,x]*F[74,x]*F[77,x]<br />
  
    F[80,x] = F[23,x]*F[77,x]<br />
  
    F[81,x] = F[61,x]+F[72,x]<br />
  
    F[82,x] = F[83,x]<br />
  
    F[83,x] = F[23,x]*F[84,x]<br />
  
    F[84,x] = F[1379,x]+F[85,x]<br />
  
    F[85,x] = F[86,x]<br />
  
    F[86,x] = F[1377,x]*F[87,x]<br />
  
    F[87,x] = F[88,x]<br />
  
    F[88,x] = F[23,x]*F[89,x]<br />
  
    F[89,x] = F[1374,x]+F[1375,x]+F[90,x]<br />
  
    F[90,x] = F[74,x]+F[91,x]<br />
  
    F[91,x] = F[92,x]<br />
  
    F[92,x] = F[1371,x]*F[23,x]*F[93,x]<br />
  
    F[93,x] = -F[708,x]+F[94,x]<br />
  
    F[94,x] = 1/F[23,x]*F[95,x]<br />
  
    F[95,x] = -F[1,x]-F[1370,x]-F[710,x]+F[96,x]<br />
  
    F[96,x] = F[4,x]+F[97,x]<br />
  
    F[97,x] = -F[104,x]+F[98,x]<br />
  
    F[98,x] = 1/F[23,x]*F[99,x]<br />
  
    F[99,x] = F[100,x]<br />
  
    F[100,x] = -F[2,x]+F[101,x]<br />
  
    F[101,x] = -F[0,x]+F[102,x]<br />
  
    F[102,x] = 1/F[23,x]*F[103,x]<br />
  
    F[103,x] = F[2,x]<br />
  
    F[104,x] = F[105,x]+F[106,x]<br />
  
    F[105,x] = F[2,x]*F[4,x]<br />
  
    F[106,x] = F[107,x]<br />
  
    F[107,x] = F[108,x]*F[23,x]<br />
  
    F[108,x] = F[109,x]+F[112,x]<br />
  
    F[109,x] = F[110,x]*F[2,x]<br />
  
    F[110,x] = 1/F[23,x]*F[111,x]<br />
  
    F[111,x] = F[97,x]<br />
  
    F[112,x] = F[0,x]*F[113,x]<br />
  
    F[113,x] = -F[1366,x]+F[114,x]<br />
  
    F[114,x] = 1/F[23,x]*F[115,x]<br />
  
    F[115,x] = F[116,x]<br />
  
    F[116,x] = -F[1364,x]-F[2,x]+F[117,x]<br />
  
    F[117,x] = F[118,x]+F[1360,x]<br />
  
    F[118,x] = F[119,x]<br />
  
    F[119,x] = F[120,x]*F[23,x]<br />
  
    F[120,x] = 1/F[23,x]/F[74,x]*F[121,x]<br />
  
    F[121,x] = F[122,x]<br />
  
    F[122,x] = F[123,x]+F[1358,x]<br />
  
    F[123,x] = F[124,x]+F[816,x]<br />
  
    F[124,x] = 1/F[4,x]*F[125,x]<br />
  
    F[125,x] = -F[130,x]+F[126,x]<br />
  
    F[126,x] = 1/F[23,x]*F[127,x]<br />
  
    F[127,x] = F[128,x]<br />
  
    F[128,x] = -F[0,x]-F[129,x]+F[12,x]<br />
  
    F[129,x] = F[26,x]<br />
  
    F[130,x] = F[131,x]+F[132,x]<br />
  
    F[131,x] = F[0,x]*F[4,x]<br />
  
    F[132,x] = F[133,x]<br />
  
    F[133,x] = F[134,x]*F[23,x]<br />
  
    F[134,x] = F[135,x]+F[1355,x]<br />
  
    F[135,x] = F[0,x]*F[136,x]<br />
  
    F[136,x] = F[137,x]+F[138,x]<br />
  
    F[137,x] = F[18,x]+F[47,x]<br />
  
    F[138,x] = F[139,x]<br />
  
    F[139,x] = F[140,x]*F[23,x]<br />
  
    F[140,x] = F[1354,x]+F[141,x]<br />
  
    F[141,x] = F[142,x]+F[143,x]<br />
  
    F[142,x] = F[12,x]+F[138,x]<br />
  
    F[143,x] = F[144,x]<br />
  
    F[144,x] = F[145,x]*F[23,x]<br />
  
    F[145,x] = 1/F[23,x]*F[146,x]<br />
  
    F[146,x] = F[147,x]<br />
  
    F[147,x] = -F[1351,x]+F[148,x]<br />
  
    F[148,x] = 1/F[23,x]*F[149,x]<br />
  
    F[149,x] = F[150,x]<br />
  
    F[150,x] = -F[1350,x]+F[151,x]<br />
  
    F[151,x] = F[152,x]+F[257,x]<br />
  
    F[152,x] = F[153,x]+F[4,x]<br />
  
    F[153,x] = F[154,x]<br />
  
    F[154,x] = F[155,x]*F[23,x]<br />
  
    F[155,x] = F[10,x]+F[156,x]<br />
  
    F[156,x] = F[157,x]<br />
  
    F[157,x] = F[158,x]*F[23,x]<br />
  
    F[158,x] = F[1317,x]+F[1349,x]+F[159,x]+F[193,x]<br />
  
    F[159,x] = F[160,x]*F[163,x]<br />
  
    F[160,x] = F[161,x]+F[4,x]<br />
  
    F[161,x] = F[162,x]<br />
  
    F[162,x] = F[10,x]*F[23,x]<br />
  
    F[163,x] = F[164,x]+F[74,x]<br />
  
    F[164,x] = F[165,x]<br />
  
    F[165,x] = F[166,x]*F[23,x]<br />
  
    F[166,x] = F[167,x]+F[74,x]<br />
  
    F[167,x] = F[168,x]<br />
  
    F[168,x] = F[169,x]<br />
  
    F[169,x] = F[170,x]*F[23,x]<br />
  
    F[170,x] = 1/F[23,x]*F[171,x]<br />
  
    F[171,x] = F[172,x]<br />
  
    F[172,x] = F[173,x]+F[174,x]+F[175,x]+F[192,x]<br />
  
    F[173,x] = 0<br />
  
    F[174,x] = F[23,x]*F[77,x]<br />
  
    F[175,x] = F[176,x]*F[23,x]<br />
  
    F[176,x] = -F[190,x]+F[177,x]<br />
  
    F[177,x] = F[178,x]+F[184,x]<br />
  
    F[178,x] = F[1,x]+F[179,x]+F[181,x]+F[183,x]<br />
  
    F[179,x] = F[180,x]<br />
  
    F[180,x] = F[74,x]^2*F[23,x]<br />
  
    F[181,x] = F[182,x]*F[23,x]<br />
  
    F[182,x] = F[172,x]+F[77,x]<br />
  
    F[183,x] = F[177,x]*F[23,x]<br />
  
    F[184,x] = F[185,x]<br />
  
    F[185,x] = F[186,x]*F[23,x]<br />
  
    F[186,x] = F[187,x]+F[188,x]<br />
  
    F[187,x] = F[178,x]*F[77,x]<br />
  
    F[188,x] = F[189,x]<br />
  
    F[189,x] = F[74,x]^2*F[172,x]<br />
  
    F[190,x] = F[191,x]<br />
  
    F[191,x] = F[74,x]*F[77,x]<br />
  
    F[192,x] = F[172,x]*F[23,x]<br />
  
    F[193,x] = F[194,x]<br />
  
    F[194,x] = F[195,x]*F[23,x]<br />
  
    F[195,x] = F[1316,x]+F[196,x]<br />
  
    F[196,x] = F[197,x]*F[74,x]<br />
  
    F[197,x] = F[198,x]+F[259,x]<br />
  
    F[198,x] = F[1314,x]+F[199,x]<br />
  
    F[199,x] = F[138,x]+F[200,x]<br />
  
    F[200,x] = F[11,x]+F[201,x]<br />
  
    F[201,x] = F[202,x]<br />
  
    F[202,x] = F[203,x]*F[23,x]<br />
  
    F[203,x] = -F[256,x]+F[204,x]<br />
  
    F[204,x] = -F[1312,x]+F[205,x]<br />
  
    F[205,x] = F[1311,x]+F[206,x]<br />
  
    F[206,x] = 1/F[23,x]*F[207,x]<br />
  
    F[207,x] = F[208,x]<br />
  
    F[208,x] = F[209,x]+F[211,x]<br />
  
    F[209,x] = F[210,x]*F[4,x]<br />
  
    F[210,x] = -F[61,x]+F[52,x]<br />
  
    F[211,x] = F[212,x]<br />
  
    F[212,x] = F[213,x]*F[23,x]<br />
  
    F[213,x] = F[1307,x]+F[214,x]<br />
  
    F[214,x] = F[1305,x]+F[215,x]<br />
  
    F[215,x] = F[216,x]*F[4,x]<br />
  
    F[216,x] = -F[1276,x]+F[217,x]<br />
  
    F[217,x] = 1/F[23,x]*F[218,x]<br />
  
    F[218,x] = F[219,x]<br />
  
    F[219,x] = F[220,x]*F[23,x]<br />
  
    F[220,x] = F[1268,x]+F[221,x]<br />
  
    F[221,x] = F[1265,x]+F[222,x]<br />
  
    F[222,x] = 1/F[23,x]*F[223,x]<br />
  
    F[223,x] = -F[1238,x]-F[173,x]-F[226,x]+F[224,x]<br />
  
    F[224,x] = 1/F[23,x]*F[225,x]<br />
  
    F[225,x] = -F[173,x]-F[5,x]+F[54,x]<br />
  
    F[226,x] = F[227,x]*F[23,x]<br />
  
    F[227,x] = F[228,x]+F[6,x]<br />
  
    F[228,x] = F[229,x]+F[236,x]<br />
  
    F[229,x] = F[230,x]+F[62,x]<br />
  
    F[230,x] = F[173,x]+F[231,x]+F[235,x]<br />
  
    F[231,x] = -F[1,x]-F[232,x]+F[52,x]<br />
  
    F[232,x] = F[23,x]*F[233,x]<br />
  
    F[233,x] = F[234,x]+F[52,x]<br />
  
    F[234,x] = F[230,x]<br />
  
    F[235,x] = F[23,x]*F[234,x]<br />
  
    F[236,x] = F[237,x]<br />
  
    F[237,x] = -F[1235,x]+F[238,x]<br />
  
    F[238,x] = F[239,x]<br />
  
    F[239,x] = F[23,x]*F[240,x]<br />
  
    F[240,x] = F[1234,x]+F[241,x]<br />
  
    F[241,x] = F[1228,x]+F[242,x]<br />
  
    F[242,x] = F[243,x]*F[61,x]<br />
  
    F[243,x] = F[152,x]+F[244,x]<br />
  
    F[244,x] = F[245,x]<br />
  
    F[245,x] = F[23,x]*F[246,x]<br />
  
    F[246,x] = -F[255,x]+F[247,x]<br />
  
    F[247,x] = 1/F[23,x]*F[248,x]<br />
  
    F[248,x] = F[249,x]<br />
  
    F[249,x] = 1/F[23,x]*F[250,x]<br />
  
    F[250,x] = -F[173,x]-F[251,x]-F[254,x]+F[7,x]<br />
  
    F[251,x] = F[23,x]*F[252,x]<br />
  
    F[252,x] = -F[6,x]+F[253,x]<br />
  
    F[253,x] = F[238,x]+F[6,x]<br />
  
    F[254,x] = F[151,x]*F[23,x]<br />
  
    F[255,x] = F[256,x]<br />
  
    F[256,x] = F[74,x]^2*F[257,x]<br />
  
    F[257,x] = F[258,x]<br />
  
    F[258,x] = 1/F[74,x]*F[259,x]<br />
  
    F[259,x] = -F[200,x]+F[260,x]<br />
  
    F[260,x] = 1/F[23,x]*F[261,x]<br />
  
    F[261,x] = F[262,x]<br />
  
    F[262,x] = -F[160,x]+F[263,x]<br />
  
    F[263,x] = F[12,x]+F[264,x]<br />
  
    F[264,x] = F[25,x]+F[265,x]<br />
  
    F[265,x] = F[266,x]<br />
  
    F[266,x] = F[23,x]*F[267,x]<br />
  
    F[267,x] = F[1144,x]+F[268,x]<br />
  
    F[268,x] = F[269,x]*F[37,x]<br />
  
    F[269,x] = F[270,x]+F[271,x]<br />
  
    F[270,x] = F[0,x]*F[90,x]<br />
  
    F[271,x] = F[272,x]+F[278,x]<br />
  
    F[272,x] = 1/F[23,x]*F[273,x]<br />
  
    F[273,x] = -F[173,x]-F[274,x]+F[54,x]<br />
  
    F[274,x] = F[23,x]*F[275,x]<br />
  
    F[275,x] = 1/F[23,x]*F[276,x]<br />
  
    F[276,x] = -F[1,x]-F[277,x]+F[102,x]<br />
  
    F[277,x] = F[23,x]*F[96,x]<br />
  
    F[278,x] = F[279,x]<br />
  
    F[279,x] = F[23,x]*F[280,x]<br />
  
    F[280,x] = F[281,x]+F[304,x]<br />
  
    F[281,x] = F[271,x]+F[282,x]<br />
  
    F[282,x] = F[283,x]<br />
  
    F[283,x] = F[23,x]*F[284,x]<br />
  
    F[284,x] = F[285,x]<br />
  
    F[285,x] = F[23,x]*F[286,x]<br />
  
    F[286,x] = F[1142,x]+F[287,x]<br />
  
    F[287,x] = F[288,x]+F[291,x]<br />
  
    F[288,x] = F[18,x]*F[289,x]<br />
  
    F[289,x] = 1/F[23,x]*F[290,x]<br />
  
    F[290,x] = F[272,x]<br />
  
    F[291,x] = F[292,x]<br />
  
    F[292,x] = F[122,x]*F[293,x]<br />
  
    F[293,x] = 1/F[23,x]*F[294,x]<br />
  
    F[294,x] = F[295,x]<br />
  
    F[295,x] = F[296,x]+F[297,x]<br />
  
    F[296,x] = F[91,x]<br />
  
    F[297,x] = F[1140,x]+F[173,x]+F[298,x]+F[305,x]+F[306,x]<br />
  
    F[298,x] = F[23,x]*F[299,x]<br />
  
    F[299,x] = F[300,x]<br />
  
    F[300,x] = F[23,x]*F[301,x]<br />
  
    F[301,x] = F[302,x]+F[304,x]<br />
  
    F[302,x] = F[281,x]+F[303,x]<br />
  
    F[303,x] = F[4,x]*F[90,x]<br />
  
    F[304,x] = F[295,x]*F[74,x]<br />
  
    F[305,x] = F[23,x]*F[272,x]<br />
  
    F[306,x] = F[23,x]*F[307,x]<br />
  
    F[307,x] = F[308,x]<br />
  
    F[308,x] = F[23,x]*F[309,x]<br />
  
    F[309,x] = F[1125,x]+F[310,x]<br />
  
    F[310,x] = 1/F[23,x]*F[311,x]<br />
  
    F[311,x] = -F[1108,x]-F[1110,x]-F[257,x]+F[312,x]<br />
  
    F[312,x] = -F[322,x]+F[313,x]<br />
  
    F[313,x] = 1/F[23,x]*F[314,x]<br />
  
    F[314,x] = F[315,x]<br />
  
    F[315,x] = 1/F[23,x]*F[316,x]<br />
  
    F[316,x] = -F[173,x]-F[317,x]-F[318,x]+F[53,x]<br />
  
    F[317,x] = F[23,x]*F[253,x]<br />
  
    F[318,x] = F[23,x]*F[319,x]<br />
  
    F[319,x] = -F[321,x]+F[320,x]<br />
  
    F[320,x] = F[152,x]+F[249,x]<br />
  
    F[321,x] = 1/F[23,x]*F[231,x]<br />
  
    F[322,x] = F[323,x]+F[325,x]<br />
  
    F[323,x] = 1/F[23,x]*F[324,x]<br />
  
    F[324,x] = F[224,x]<br />
  
    F[325,x] = F[326,x]<br />
  
    F[326,x] = 1/F[23,x]*F[327,x]<br />
  
    F[327,x] = F[328,x]<br />
  
    F[328,x] = -F[572,x]+F[329,x]<br />
  
    F[329,x] = -F[550,x]+F[330,x]<br />
  
    F[330,x] = 1/F[23,x]*F[331,x]<br />
  
    F[331,x] = F[332,x]<br />
  
    F[332,x] = F[23,x]*F[333,x]<br />
  
    F[333,x] = F[334,x]+F[544,x]<br />
  
    F[334,x] = F[335,x]+F[339,x]<br />
  
    F[335,x] = F[336,x]*F[52,x]<br />
  
    F[336,x] = F[173,x]+F[273,x]+F[337,x]<br />
  
    F[337,x] = F[23,x]*F[338,x]<br />
  
    F[338,x] = -F[102,x]+F[275,x]<br />
  
    F[339,x] = F[340,x]<br />
  
    F[340,x] = F[23,x]*F[341,x]<br />
  
    F[341,x] = F[342,x]<br />
  
    F[342,x] = F[23,x]*F[343,x]<br />
  
    F[343,x] = F[344,x]+F[521,x]<br />
  
    F[344,x] = F[345,x]+F[519,x]<br />
  
    F[345,x] = F[18,x]*F[346,x]<br />
  
    F[346,x] = F[347,x]+F[477,x]<br />
  
    F[347,x] = F[348,x]+F[352,x]<br />
  
    F[348,x] = F[349,x]+F[351,x]+F[4,x]<br />
  
    F[349,x] = F[350,x]<br />
  
    F[350,x] = F[136,x]*F[23,x]<br />
  
    F[351,x] = F[23,x]*F[346,x]<br />
  
    F[352,x] = F[353,x]+F[421,x]<br />
  
    F[353,x] = F[354,x]+F[416,x]<br />
  
    F[354,x] = F[355,x]<br />
  
    F[355,x] = F[23,x]*F[356,x]<br />
  
    F[356,x] = F[357,x]+F[358,x]<br />
  
    F[357,x] = F[21,x]*F[90,x]<br />
  
    F[358,x] = F[13,x]*F[359,x]<br />
  
    F[359,x] = 1/F[23,x]*F[360,x]<br />
  
    F[360,x] = -F[173,x]-F[414,x]+F[361,x]<br />
  
    F[361,x] = -F[61,x]+F[362,x]<br />
  
    F[362,x] = F[0,x]+F[363,x]<br />
  
    F[363,x] = F[364,x]<br />
  
    F[364,x] = F[23,x]*F[365,x]<br />
  
    F[365,x] = F[366,x]+F[397,x]<br />
  
    F[366,x] = F[367,x]+F[368,x]<br />
  
    F[367,x] = F[0,x]*F[61,x]<br />
  
    F[368,x] = F[363,x]+F[369,x]<br />
  
    F[369,x] = F[370,x]<br />
  
    F[370,x] = F[23,x]*F[371,x]<br />
  
    F[371,x] = F[372,x]+F[373,x]<br />
  
    F[372,x] = F[363,x]*F[90,x]<br />
  
    F[373,x] = F[374,x]<br />
  
    F[374,x] = F[23,x]*F[375,x]*F[61,x]*F[77,x]<br />
  
    F[375,x] = F[376,x]+F[395,x]<br />
  
    F[376,x] = F[377,x]+F[81,x]<br />
  
    F[377,x] = -F[385,x]+F[378,x]<br />
  
    F[378,x] = 1/F[23,x]*F[379,x]<br />
  
    F[379,x] = F[380,x]<br />
  
    F[380,x] = F[173,x]+F[360,x]+F[381,x]<br />
  
    F[381,x] = F[23,x]*F[382,x]<br />
  
    F[382,x] = F[383,x]<br />
  
    F[383,x] = F[102,x]*F[23,x]*F[384,x]<br />
  
    F[384,x] = F[359,x]+F[90,x]<br />
  
    F[385,x] = F[386,x]<br />
  
    F[386,x] = F[0,x]*F[387,x]<br />
  
    F[387,x] = F[165,x]+F[173,x]+F[388,x]<br />
  
    F[388,x] = F[389,x]<br />
  
    F[389,x] = F[23,x]*F[390,x]*F[74,x]<br />
  
    F[390,x] = F[391,x]<br />
  
    F[391,x] = F[23,x]*F[392,x]<br />
  
    F[392,x] = F[393,x]<br />
  
    F[393,x] = 1/F[23,x]*F[394,x]<br />
  
    F[394,x] = -F[1,x]-F[76,x]+F[77,x]<br />
  
    F[395,x] = F[396,x]<br />
  
    F[396,x] = F[0,x]*F[166,x]*F[23,x]<br />
  
    F[397,x] = F[398,x]<br />
  
    F[398,x] = F[0,x]*F[399,x]<br />
  
    F[399,x] = F[400,x]<br />
  
    F[400,x] = F[23,x]*F[401,x]*F[74,x]<br />
  
    F[401,x] = F[402,x]+F[61,x]<br />
  
    F[402,x] = 1/F[0,x]/F[74,x]*F[403,x]<br />
  
    F[403,x] = F[404,x]<br />
  
    F[404,x] = -F[413,x]+F[405,x]<br />
  
    F[405,x] = F[406,x]+F[409,x]<br />
  
    F[406,x] = F[407,x]<br />
  
    F[407,x] = 1/F[23,x]*F[408,x]<br />
  
    F[408,x] = F[361,x]<br />
  
    F[409,x] = F[410,x]+F[411,x]<br />
  
    F[410,x] = F[61,x]*F[97,x]<br />
  
    F[411,x] = F[412,x]<br />
  
    F[412,x] = F[0,x]*F[402,x]*F[75,x]<br />
  
    F[413,x] = F[61,x]*F[96,x]<br />
  
    F[414,x] = F[23,x]*F[415,x]<br />
  
    F[415,x] = F[102,x]+F[382,x]<br />
  
    F[416,x] = F[417,x]<br />
  
    F[417,x] = F[23,x]*F[418,x]<br />
  
    F[418,x] = F[419,x]+F[420,x]<br />
  
    F[419,x] = F[44,x]*F[90,x]<br />
  
    F[420,x] = F[25,x]*F[359,x]<br />
  
    F[421,x] = F[422,x]<br />
  
    F[422,x] = F[23,x]*F[423,x]<br />
  
    F[423,x] = F[424,x]+F[431,x]<br />
  
    F[424,x] = F[425,x]+F[429,x]<br />
  
    F[425,x] = F[426,x]*F[90,x]<br />
  
    F[426,x] = F[173,x]+F[351,x]+F[427,x]<br />
  
    F[427,x] = F[428,x]<br />
  
    F[428,x] = F[138,x]*F[23,x]<br />
  
    F[429,x] = F[430,x]<br />
  
    F[430,x] = F[138,x]*F[359,x]<br />
  
    F[431,x] = F[432,x]<br />
  
    F[432,x] = F[433,x]*F[74,x]<br />
  
    F[433,x] = F[434,x]+F[496,x]<br />
  
    F[434,x] = 1/F[23,x]*F[435,x]<br />
  
    F[435,x] = F[436,x]<br />
  
    F[436,x] = -F[54,x]+F[437,x]<br />
  
    F[437,x] = -F[440,x]+F[438,x]<br />
  
    F[438,x] = 1/F[23,x]*F[439,x]<br />
  
    F[439,x] = F[336,x]<br />
  
    F[440,x] = -F[443,x]+F[441,x]<br />
  
    F[441,x] = 1/F[23,x]*F[442,x]<br />
  
    F[442,x] = F[26,x]<br />
  
    F[443,x] = F[4,x]+F[444,x]<br />
  
    F[444,x] = -F[320,x]+F[445,x]<br />
  
    F[445,x] = F[446,x]+F[448,x]<br />
  
    F[446,x] = 1/F[23,x]*F[447,x]<br />
  
    F[447,x] = F[230,x]<br />
  
    F[448,x] = -F[451,x]+F[449,x]<br />
  
    F[449,x] = 1/F[23,x]*F[450,x]<br />
  
    F[450,x] = F[62,x]<br />
  
    F[451,x] = F[452,x]<br />
  
    F[452,x] = F[23,x]*F[453,x]<br />
  
    F[453,x] = F[454,x]+F[456,x]<br />
  
    F[454,x] = F[455,x]*F[59,x]<br />
  
    F[455,x] = F[243,x]+F[444,x]<br />
  
    F[456,x] = F[457,x]*F[495,x]<br />
  
    F[457,x] = F[458,x]+F[467,x]<br />
  
    F[458,x] = F[459,x]<br />
  
    F[459,x] = 1/F[23,x]*F[460,x]<br />
  
    F[460,x] = -F[173,x]-F[461,x]-F[464,x]-F[465,x]+F[257,x]<br />
  
    F[461,x] = F[23,x]*F[462,x]<br />
  
    F[462,x] = F[463,x]<br />
  
    F[463,x] = F[23,x]*F[260,x]<br />
  
    F[464,x] = F[160,x]*F[23,x]<br />
  
    F[465,x] = F[466,x]<br />
  
    F[466,x] = F[23,x]*F[257,x]<br />
  
    F[467,x] = F[468,x]<br />
  
    F[468,x] = F[23,x]*F[469,x]<br />
  
    F[469,x] = F[470,x]<br />
  
    F[470,x] = -F[485,x]+F[471,x]<br />
  
    F[471,x] = 1/F[23,x]*F[472,x]<br />
  
    F[472,x] = F[473,x]<br />
  
    F[473,x] = F[23,x]*F[474,x]<br />
  
    F[474,x] = 1/F[23,x]/F[74,x]*F[475,x]<br />
  
    F[475,x] = F[476,x]<br />
  
    F[476,x] = -F[481,x]+F[477,x]<br />
  
    F[477,x] = -F[352,x]+F[478,x]<br />
  
    F[478,x] = 1/F[23,x]*F[479,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = -F[54,x]+F[224,x]<br />
  
    F[481,x] = F[482,x]+F[483,x]<br />
  
    F[482,x] = -F[354,x]+F[43,x]<br />
  
    F[483,x] = -F[484,x]+F[216,x]<br />
  
    F[484,x] = F[416,x]+F[44,x]<br />
  
    F[485,x] = -F[494,x]+F[486,x]<br />
  
    F[486,x] = F[487,x]<br />
  
    F[487,x] = -F[490,x]+F[488,x]<br />
  
    F[488,x] = 1/F[23,x]*F[489,x]<br />
  
    F[489,x] = F[315,x]<br />
  
    F[490,x] = -F[493,x]+F[491,x]<br />
  
    F[491,x] = 1/F[23,x]*F[492,x]<br />
  
    F[492,x] = F[222,x]<br />
  
    F[493,x] = F[471,x]<br />
  
    F[494,x] = F[258,x]<br />
  
    F[495,x] = F[118,x]+F[74,x]<br />
  
    F[496,x] = F[497,x]<br />
  
    F[497,x] = F[23,x]*F[498,x]<br />
  
    F[498,x] = F[499,x]<br />
  
    F[499,x] = F[23,x]*F[500,x]<br />
  
    F[500,x] = 1/F[23,x]*F[501,x]<br />
  
    F[501,x] = F[502,x]<br />
  
    F[502,x] = 1/F[23,x]*F[503,x]<br />
  
    F[503,x] = F[504,x]<br />
  
    F[504,x] = -F[173,x]-F[512,x]-F[518,x]+F[505,x]<br />
  
    F[505,x] = F[467,x]+F[506,x]<br />
  
    F[506,x] = F[507,x]+F[509,x]<br />
  
    F[507,x] = F[508,x]<br />
  
    F[508,x] = F[13,x]*F[23,x]<br />
  
    F[509,x] = F[510,x]<br />
  
    F[510,x] = F[23,x]*F[511,x]<br />
  
    F[511,x] = F[138,x]+F[25,x]<br />
  
    F[512,x] = F[23,x]*F[513,x]<br />
  
    F[513,x] = F[514,x]<br />
  
    F[514,x] = F[23,x]*F[515,x]<br />
  
    F[515,x] = 1/F[23,x]*F[516,x]<br />
  
    F[516,x] = F[517,x]<br />
  
    F[517,x] = -F[443,x]+F[142,x]<br />
  
    F[518,x] = F[23,x]*F[443,x]<br />
  
    F[519,x] = F[520,x]<br />
  
    F[520,x] = F[122,x]*F[140,x]<br />
  
    F[521,x] = F[522,x]<br />
  
    F[522,x] = F[140,x]*F[523,x]<br />
  
    F[523,x] = -F[543,x]+F[524,x]<br />
  
    F[524,x] = 1/F[23,x]*F[525,x]<br />
  
    F[525,x] = -F[540,x]-F[541,x]+F[526,x]<br />
  
    F[526,x] = 1/F[23,x]*F[527,x]<br />
  
    F[527,x] = F[528,x]<br />
  
    F[528,x] = F[2,x]+F[529,x]<br />
  
    F[529,x] = F[173,x]+F[530,x]+F[538,x]<br />
  
    F[530,x] = F[23,x]*F[531,x]<br />
  
    F[531,x] = F[532,x]<br />
  
    F[532,x] = F[23,x]*F[533,x]<br />
  
    F[533,x] = F[534,x]+F[536,x]<br />
  
    F[534,x] = F[535,x]*F[74,x]<br />
  
    F[535,x] = F[4,x]+F[531,x]<br />
  
    F[536,x] = F[537,x]<br />
  
    F[537,x] = F[164,x]*F[4,x]*F[74,x]<br />
  
    F[538,x] = -F[173,x]-F[539,x]+F[124,x]<br />
  
    F[539,x] = F[23,x]*F[74,x]<br />
  
    F[540,x] = F[0,x]+F[124,x]<br />
  
    F[541,x] = F[542,x]<br />
  
    F[542,x] = F[23,x]*F[533,x]<br />
  
    F[543,x] = F[122,x]+F[18,x]<br />
  
    F[544,x] = F[545,x]*F[74,x]<br />
  
    F[545,x] = F[546,x]<br />
  
    F[546,x] = F[23,x]*F[547,x]<br />
  
    F[547,x] = F[487,x]+F[548,x]<br />
  
    F[548,x] = -F[549,x]+F[488,x]<br />
  
    F[549,x] = F[346,x]+F[487,x]<br />
  
    F[550,x] = F[551,x]+F[562,x]<br />
  
    F[551,x] = F[552,x]<br />
  
    F[552,x] = F[23,x]*F[553,x]<br />
  
    F[553,x] = F[554,x]<br />
  
    F[554,x] = F[23,x]*F[555,x]<br />
  
    F[555,x] = F[556,x]+F[560,x]<br />
  
    F[556,x] = F[52,x]*F[557,x]<br />
  
    F[557,x] = F[558,x]+F[559,x]<br />
  
    F[558,x] = F[52,x]*F[59,x]<br />
  
    F[559,x] = F[234,x]*F[495,x]<br />
  
    F[560,x] = F[561,x]<br />
  
    F[561,x] = F[74,x]^2*F[234,x]*F[495,x]<br />
  
    F[562,x] = -F[569,x]+F[563,x]<br />
  
    F[563,x] = F[564,x]<br />
  
    F[564,x] = F[23,x]*F[565,x]<br />
  
    F[565,x] = F[566,x]+F[567,x]<br />
  
    F[566,x] = F[52,x]*F[56,x]<br />
  
    F[567,x] = F[568,x]<br />
  
    F[568,x] = F[120,x]*F[234,x]<br />
  
    F[569,x] = F[551,x]+F[570,x]<br />
  
    F[570,x] = F[571,x]<br />
  
    F[571,x] = F[23,x]*F[557,x]<br />
  
    F[572,x] = -F[562,x]+F[573,x]<br />
  
    F[573,x] = F[1102,x]+F[574,x]<br />
  
    F[574,x] = -F[1093,x]+F[575,x]<br />
  
    F[575,x] = -F[582,x]+F[576,x]<br />
  
    F[576,x] = F[563,x]+F[577,x]<br />
  
    F[577,x] = 1/F[23,x]*F[578,x]<br />
  
    F[578,x] = -F[173,x]-F[581,x]+F[579,x]<br />
  
    F[579,x] = -F[580,x]+F[56,x]<br />
  
    F[580,x] = F[570,x]+F[59,x]<br />
  
    F[581,x] = F[23,x]*F[323,x]<br />
  
    F[582,x] = 1/F[23,x]*F[583,x]<br />
  
    F[583,x] = -F[210,x]-F[628,x]+F[584,x]<br />
  
    F[584,x] = F[173,x]+F[585,x]+F[627,x]<br />
  
    F[585,x] = F[586,x]<br />
  
    F[586,x] = F[23,x]*F[587,x]<br />
  
    F[587,x] = F[588,x]<br />
  
    F[588,x] = F[23,x]*F[589,x]<br />
  
    F[589,x] = 1/F[23,x]*F[590,x]<br />
  
    F[590,x] = F[591,x]<br />
  
    F[591,x] = 1/F[0,x]*F[592,x]<br />
  
    F[592,x] = -F[595,x]+F[593,x]<br />
  
    F[593,x] = 1/F[23,x]*F[594,x]<br />
  
    F[594,x] = F[338,x]<br />
  
    F[595,x] = F[596,x]+F[597,x]<br />
  
    F[596,x] = F[0,x]*F[96,x]<br />
  
    F[597,x] = F[598,x]+F[600,x]<br />
  
    F[598,x] = F[599,x]*F[90,x]<br />
  
    F[599,x] = F[100,x]+F[2,x]<br />
  
    F[600,x] = F[601,x]<br />
  
    F[601,x] = F[23,x]*F[602,x]<br />
  
    F[602,x] = F[603,x]+F[606,x]<br />
  
    F[603,x] = F[599,x]*F[604,x]<br />
  
    F[604,x] = 1/F[23,x]*F[605,x]<br />
  
    F[605,x] = F[272,x]<br />
  
    F[606,x] = F[607,x]<br />
  
    F[607,x] = F[589,x]*F[608,x]<br />
  
    F[608,x] = F[609,x]<br />
  
    F[609,x] = F[23,x]*F[610,x]<br />
  
    F[610,x] = F[611,x]+F[626,x]<br />
  
    F[611,x] = F[102,x]+F[612,x]<br />
  
    F[612,x] = F[613,x]<br />
  
    F[613,x] = F[23,x]*F[614,x]<br />
  
    F[614,x] = F[615,x]+F[625,x]<br />
  
    F[615,x] = F[616,x]+F[617,x]<br />
  
    F[616,x] = F[0,x]*F[4,x]<br />
  
    F[617,x] = F[618,x]+F[619,x]<br />
  
    F[618,x] = F[599,x]*F[61,x]<br />
  
    F[619,x] = F[620,x]<br />
  
    F[620,x] = F[23,x]*F[621,x]<br />
  
    F[621,x] = F[622,x]+F[623,x]<br />
  
    F[622,x] = F[56,x]*F[599,x]<br />
  
    F[623,x] = F[624,x]<br />
  
    F[624,x] = F[120,x]*F[608,x]<br />
  
    F[625,x] = F[608,x]*F[74,x]<br />
  
    F[626,x] = F[0,x]*F[124,x]<br />
  
    F[627,x] = F[23,x]*F[604,x]<br />
  
    F[628,x] = F[23,x]*F[629,x]<br />
  
    F[629,x] = F[630,x]+F[643,x]<br />
  
    F[630,x] = F[173,x]+F[631,x]+F[639,x]<br />
  
    F[631,x] = F[632,x]<br />
  
    F[632,x] = F[23,x]*F[633,x]<br />
  
    F[633,x] = F[634,x]<br />
  
    F[634,x] = F[23,x]*F[635,x]<br />
  
    F[635,x] = F[589,x]+F[636,x]<br />
  
    F[636,x] = F[637,x]<br />
  
    F[637,x] = F[638,x]<br />
  
    F[638,x] = F[177,x]*F[23,x]*F[495,x]<br />
  
    F[639,x] = F[23,x]*F[640,x]<br />
  
    F[640,x] = F[604,x]+F[641,x]<br />
  
    F[641,x] = F[642,x]<br />
  
    F[642,x] = F[177,x]*F[23,x]*F[59,x]<br />
  
    F[643,x] = F[173,x]+F[644,x]+F[700,x]+F[705,x]<br />
  
    F[644,x] = F[645,x]<br />
  
    F[645,x] = F[23,x]*F[646,x]<br />
  
    F[646,x] = F[647,x]<br />
  
    F[647,x] = F[23,x]*F[648,x]<br />
  
    F[648,x] = 1/F[23,x]*F[649,x]<br />
  
    F[649,x] = F[650,x]<br />
  
    F[650,x] = 1/F[0,x]*F[651,x]<br />
  
    F[651,x] = -F[673,x]+F[652,x]<br />
  
    F[652,x] = 1/F[23,x]*F[653,x]<br />
  
    F[653,x] = F[654,x]<br />
  
    F[654,x] = -F[671,x]-F[94,x]+F[655,x]<br />
  
    F[655,x] = F[656,x]+F[669,x]<br />
  
    F[656,x] = 1/F[23,x]*F[657,x]<br />
  
    F[657,x] = -F[0,x]-F[661,x]-F[665,x]+F[658,x]<br />
  
    F[658,x] = F[659,x]+F[96,x]<br />
  
    F[659,x] = F[660,x]<br />
  
    F[660,x] = F[23,x]*F[593,x]<br />
  
    F[661,x] = F[662,x]<br />
  
    F[662,x] = F[23,x]*F[663,x]<br />
  
    F[663,x] = 1/F[23,x]*F[664,x]<br />
  
    F[664,x] = F[7,x]<br />
  
    F[665,x] = F[23,x]*F[666,x]<br />
  
    F[666,x] = F[658,x]+F[667,x]<br />
  
    F[667,x] = F[668,x]<br />
  
    F[668,x] = F[13,x]*F[177,x]*F[23,x]<br />
  
    F[669,x] = F[670,x]<br />
  
    F[670,x] = F[13,x]*F[177,x]*F[23,x]<br />
  
    F[671,x] = F[672,x]<br />
  
    F[672,x] = F[0,x]*F[177,x]*F[23,x]<br />
  
    F[673,x] = F[674,x]+F[677,x]<br />
  
    F[674,x] = F[675,x]+F[676,x]<br />
  
    F[675,x] = F[0,x]*F[94,x]<br />
  
    F[676,x] = F[177,x]*F[507,x]<br />
  
    F[677,x] = F[678,x]<br />
  
    F[678,x] = F[23,x]*F[679,x]<br />
  
    F[679,x] = F[680,x]+F[698,x]<br />
  
    F[680,x] = F[681,x]+F[684,x]<br />
  
    F[681,x] = F[682,x]+F[683,x]<br />
  
    F[682,x] = F[18,x]*F[94,x]<br />
  
    F[683,x] = F[13,x]*F[177,x]*F[23,x]<br />
  
    F[684,x] = F[177,x]*F[685,x]<br />
  
    F[685,x] = F[686,x]<br />
  
    F[686,x] = F[23,x]*F[687,x]<br />
  
    F[687,x] = F[688,x]+F[696,x]<br />
  
    F[688,x] = F[18,x]+F[689,x]<br />
  
    F[689,x] = F[690,x]<br />
  
    F[690,x] = F[23,x]*F[691,x]<br />
  
    F[691,x] = F[692,x]+F[695,x]<br />
  
    F[692,x] = F[693,x]+F[694,x]<br />
  
    F[693,x] = F[18,x]*F[21,x]<br />
  
    F[694,x] = F[122,x]*F[13,x]<br />
  
    F[695,x] = F[13,x]*F[523,x]<br />
  
    F[696,x] = F[697,x]<br />
  
    F[697,x] = F[74,x]^2*F[507,x]<br />
  
    F[698,x] = F[699,x]<br />
  
    F[699,x] = F[16,x]*F[650,x]<br />
  
    F[700,x] = F[701,x]<br />
  
    F[701,x] = F[23,x]*F[702,x]<br />
  
    F[702,x] = F[703,x]+F[704,x]<br />
  
    F[703,x] = F[168,x]*F[74,x]<br />
  
    F[704,x] = F[168,x]*F[75,x]<br />
  
    F[705,x] = F[23,x]*F[706,x]<br />
  
    F[706,x] = 1/F[23,x]*F[707,x]<br />
  
    F[707,x] = F[708,x]<br />
  
    F[708,x] = 1/F[23,x]*F[709,x]<br />
  
    F[709,x] = -F[1090,x]-F[173,x]-F[710,x]+F[272,x]<br />
  
    F[710,x] = F[23,x]*F[711,x]<br />
  
    F[711,x] = 1/F[23,x]*F[712,x]<br />
  
    F[712,x] = -F[1,x]-F[1089,x]-F[713,x]+F[6,x]<br />
  
    F[713,x] = F[23,x]*F[714,x]<br />
  
    F[714,x] = 1/F[23,x]*F[715,x]<br />
  
    F[715,x] = -F[1,x]-F[716,x]-F[720,x]+F[275,x]<br />
  
    F[716,x] = F[23,x]*F[717,x]<br />
  
    F[717,x] = F[718,x]+F[96,x]<br />
  
    F[718,x] = F[719,x]<br />
  
    F[719,x] = F[0,x]*F[74,x]*F[75,x]<br />
  
    F[720,x] = F[23,x]*F[721,x]<br />
  
    F[721,x] = F[275,x]+F[722,x]<br />
  
    F[722,x] = F[723,x]<br />
  
    F[723,x] = F[23,x]*F[724,x]<br />
  
    F[724,x] = F[725,x]+F[821,x]<br />
  
    F[725,x] = F[726,x]+F[819,x]<br />
  
    F[726,x] = F[727,x]+F[732,x]<br />
  
    F[727,x] = -F[730,x]+F[728,x]<br />
  
    F[728,x] = 1/F[23,x]*F[729,x]<br />
  
    F[729,x] = F[338,x]<br />
  
    F[730,x] = F[731,x]<br />
  
    F[731,x] = F[74,x]^2*F[0,x]*F[124,x]<br />
  
    F[732,x] = -F[814,x]+F[733,x]<br />
  
    F[733,x] = 1/F[23,x]*F[734,x]<br />
  
    F[734,x] = F[735,x]<br />
  
    F[735,x] = -F[26,x]-F[738,x]-F[752,x]+F[736,x]<br />
  
    F[736,x] = F[339,x]+F[737,x]<br />
  
    F[737,x] = F[26,x]*F[52,x]<br />
  
    F[738,x] = F[23,x]*F[739,x]<br />
  
    F[739,x] = F[740,x]+F[744,x]<br />
  
    F[740,x] = F[741,x]<br />
  
    F[741,x] = F[26,x]*F[742,x]<br />
  
    F[742,x] = F[743,x]+F[91,x]<br />
  
    F[743,x] = F[74,x]^2<br />
  
    F[744,x] = F[282,x]+F[745,x]<br />
  
    F[745,x] = F[746,x]<br />
  
    F[746,x] = F[23,x]*F[26,x]*F[747,x]<br />
  
    F[747,x] = F[748,x]+F[750,x]<br />
  
    F[748,x] = F[749,x]<br />
  
    F[749,x] = F[21,x]*F[74,x]*F[75,x]<br />
  
    F[750,x] = F[751,x]<br />
  
    F[751,x] = F[0,x]*F[702,x]<br />
  
    F[752,x] = F[23,x]*F[753,x]<br />
  
    F[753,x] = -F[806,x]+F[754,x]<br />
  
    F[754,x] = 1/F[23,x]*F[755,x]<br />
  
    F[755,x] = -F[4,x]-F[783,x]-F[800,x]-F[804,x]+F[756,x]<br />
  
    F[756,x] = F[739,x]+F[757,x]<br />
  
    F[757,x] = F[758,x]+F[779,x]<br />
  
    F[758,x] = F[759,x]+F[96,x]<br />
  
    F[759,x] = F[760,x]<br />
  
    F[760,x] = F[173,x]+F[761,x]+F[763,x]+F[774,x]<br />
  
    F[761,x] = F[762,x]<br />
  
    F[762,x] = F[0,x]*F[23,x]*F[74,x]*F[75,x]<br />
  
    F[763,x] = F[23,x]*F[764,x]<br />
  
    F[764,x] = F[765,x]<br />
  
    F[765,x] = F[23,x]*F[766,x]<br />
  
    F[766,x] = F[767,x]+F[777,x]<br />
  
    F[767,x] = F[768,x]<br />
  
    F[768,x] = F[74,x]*F[769,x]*F[77,x]<br />
  
    F[769,x] = F[1,x]+F[770,x]+F[774,x]<br />
  
    F[770,x] = F[771,x]<br />
  
    F[771,x] = F[23,x]*F[772,x]<br />
  
    F[772,x] = F[26,x]+F[773,x]<br />
  
    F[773,x] = F[0,x]*F[74,x]<br />
  
    F[774,x] = F[23,x]*F[775,x]<br />
  
    F[775,x] = F[769,x]+F[776,x]<br />
  
    F[776,x] = F[760,x]<br />
  
    F[777,x] = F[778,x]<br />
  
    F[778,x] = F[0,x]*F[176,x]*F[74,x]<br />
  
    F[779,x] = F[780,x]<br />
  
    F[780,x] = F[23,x]*F[781,x]<br />
  
    F[781,x] = F[756,x]+F[782,x]<br />
  
    F[782,x] = F[304,x]<br />
  
    F[783,x] = F[784,x]<br />
  
    F[784,x] = F[23,x]*F[785,x]<br />
  
    F[785,x] = F[786,x]+F[799,x]<br />
  
    F[786,x] = -F[797,x]+F[787,x]<br />
  
    F[787,x] = 1/F[23,x]*F[788,x]<br />
  
    F[788,x] = F[789,x]<br />
  
    F[789,x] = F[790,x]<br />
  
    F[790,x] = F[23,x]*F[791,x]<br />
  
    F[791,x] = F[792,x]+F[795,x]<br />
  
    F[792,x] = F[59,x]*F[793,x]<br />
  
    F[793,x] = F[711,x]+F[794,x]<br />
  
    F[794,x] = F[719,x]<br />
  
    F[795,x] = F[796,x]<br />
  
    F[796,x] = F[299,x]*F[495,x]<br />
  
    F[797,x] = F[798,x]<br />
  
    F[798,x] = F[299,x]*F[74,x]<br />
  
    F[799,x] = F[123,x]*F[96,x]<br />
  
    F[800,x] = F[23,x]*F[801,x]<br />
  
    F[801,x] = F[756,x]+F[802,x]<br />
  
    F[802,x] = F[803,x]<br />
  
    F[803,x] = F[23,x]*F[4,x]*F[766,x]<br />
  
    F[804,x] = F[805,x]<br />
  
    F[805,x] = F[23,x]*F[4,x]*F[775,x]<br />
  
    F[806,x] = 1/F[23,x]*F[807,x]<br />
  
    F[807,x] = -F[0,x]-F[811,x]-F[813,x]+F[808,x]<br />
  
    F[808,x] = F[152,x]+F[809,x]<br />
  
    F[809,x] = F[810,x]<br />
  
    F[810,x] = F[23,x]*F[9,x]<br />
  
    F[811,x] = F[812,x]<br />
  
    F[812,x] = F[23,x]*F[728,x]<br />
  
    F[813,x] = F[23,x]*F[757,x]<br />
  
    F[814,x] = F[815,x]<br />
  
    F[815,x] = F[74,x]^2*F[0,x]*F[816,x]<br />
  
    F[816,x] = F[817,x]<br />
  
    F[817,x] = F[23,x]*F[818,x]<br />
  
    F[818,x] = F[122,x]+F[523,x]<br />
  
    F[819,x] = F[820,x]<br />
  
    F[820,x] = F[74,x]^2*F[0,x]*F[123,x]<br />
  
    F[821,x] = F[1087,x]+F[822,x]<br />
  
    F[822,x] = F[74,x]*F[823,x]<br />
  
    F[823,x] = -F[1085,x]+F[824,x]<br />
  
    F[824,x] = 1/F[74,x]*F[825,x]<br />
  
    F[825,x] = -F[1083,x]+F[826,x]<br />
  
    F[826,x] = -F[837,x]+F[827,x]<br />
  
    F[827,x] = 1/F[23,x]*F[828,x]<br />
  
    F[828,x] = F[829,x]<br />
  
    F[829,x] = -F[830,x]+F[727,x]<br />
  
    F[830,x] = -F[835,x]+F[831,x]<br />
  
    F[831,x] = 1/F[23,x]*F[832,x]<br />
  
    F[832,x] = F[833,x]<br />
  
    F[833,x] = -F[0,x]-F[834,x]+F[12,x]<br />
  
    F[834,x] = F[23,x]*F[269,x]<br />
  
    F[835,x] = F[836,x]<br />
  
    F[836,x] = F[0,x]*F[124,x]*F[74,x]<br />
  
    F[837,x] = F[1081,x]+F[838,x]<br />
  
    F[838,x] = F[1080,x]+F[727,x]+F[839,x]<br />
  
    F[839,x] = F[840,x]<br />
  
    F[840,x] = F[23,x]*F[841,x]<br />
  
    F[841,x] = -F[1078,x]+F[842,x]<br />
  
    F[842,x] = F[1077,x]+F[843,x]<br />
  
    F[843,x] = -F[1036,x]+F[844,x]<br />
  
    F[844,x] = 1/F[23,x]*F[845,x]<br />
  
    F[845,x] = F[846,x]<br />
  
    F[846,x] = -F[1029,x]+F[847,x]<br />
  
    F[847,x] = 1/F[23,x]*F[848,x]<br />
  
    F[848,x] = -F[0,x]-F[855,x]-F[884,x]-F[886,x]+F[849,x]<br />
  
    F[849,x] = F[227,x]+F[850,x]<br />
  
    F[850,x] = F[851,x]<br />
  
    F[851,x] = F[23,x]*F[852,x]<br />
  
    F[852,x] = F[853,x]+F[854,x]<br />
  
    F[853,x] = F[227,x]*F[59,x]<br />
  
    F[854,x] = F[462,x]*F[495,x]<br />
  
    F[855,x] = F[856,x]<br />
  
    F[856,x] = F[23,x]*F[857,x]<br />
  
    F[857,x] = F[858,x]+F[883,x]<br />
  
    F[858,x] = F[859,x]+F[881,x]<br />
  
    F[859,x] = F[860,x]+F[873,x]<br />
  
    F[860,x] = F[861,x]+F[96,x]<br />
  
    F[861,x] = F[862,x]<br />
  
    F[862,x] = F[23,x]*F[863,x]<br />
  
    F[863,x] = F[864,x]+F[871,x]<br />
  
    F[864,x] = F[865,x]+F[866,x]<br />
  
    F[865,x] = F[4,x]^2<br />
  
    F[866,x] = F[867,x]<br />
  
    F[867,x] = F[23,x]*F[868,x]<br />
  
    F[868,x] = F[869,x]+F[870,x]<br />
  
    F[869,x] = F[110,x]*F[4,x]<br />
  
    F[870,x] = F[0,x]*F[123,x]*F[74,x]<br />
  
    F[871,x] = F[872,x]<br />
  
    F[872,x] = F[74,x]^2*F[0,x]*F[23,x]<br />
  
    F[873,x] = F[874,x]<br />
  
    F[874,x] = F[0,x]*F[75,x]*F[875,x]<br />
  
    F[875,x] = F[0,x]+F[876,x]<br />
  
    F[876,x] = F[877,x]<br />
  
    F[877,x] = F[23,x]*F[878,x]<br />
  
    F[878,x] = F[879,x]+F[880,x]<br />
  
    F[879,x] = F[0,x]*F[77,x]<br />
  
    F[880,x] = F[124,x]*F[74,x]<br />
  
    F[881,x] = F[882,x]<br />
  
    F[882,x] = F[0,x]*F[74,x]*F[75,x]*F[875,x]<br />
  
    F[883,x] = F[124,x]*F[4,x]<br />
  
    F[884,x] = F[23,x]*F[885,x]<br />
  
    F[885,x] = F[789,x]+F[793,x]<br />
  
    F[886,x] = F[23,x]*F[887,x]<br />
  
    F[887,x] = F[888,x]+F[889,x]<br />
  
    F[888,x] = F[0,x]*F[711,x]<br />
  
    F[889,x] = F[890,x]<br />
  
    F[890,x] = F[23,x]*F[891,x]<br />
  
    F[891,x] = F[1016,x]+F[892,x]<br />
  
    F[892,x] = F[0,x]*F[893,x]<br />
  
    F[893,x] = 1/F[23,x]*F[894,x]<br />
  
    F[894,x] = F[895,x]<br />
  
    F[895,x] = -F[1005,x]+F[896,x]<br />
  
    F[896,x] = 1/F[23,x]*F[897,x]<br />
  
    F[897,x] = -F[1,x]-F[1004,x]-F[712,x]-F[898,x]+F[253,x]<br />
  
    F[898,x] = F[23,x]*F[899,x]<br />
  
    F[899,x] = 1/F[23,x]*F[900,x]<br />
  
    F[900,x] = -F[1,x]-F[720,x]-F[904,x]-F[908,x]+F[901,x]<br />
  
    F[901,x] = F[275,x]+F[902,x]<br />
  
    F[902,x] = F[903,x]<br />
  
    F[903,x] = F[23,x]*F[725,x]<br />
  
    F[904,x] = F[23,x]*F[905,x]<br />
  
    F[905,x] = F[717,x]+F[906,x]<br />
  
    F[906,x] = F[907,x]<br />
  
    F[907,x] = F[74,x]^2*F[0,x]*F[75,x]<br />
  
    F[908,x] = F[23,x]*F[909,x]<br />
  
    F[909,x] = F[721,x]+F[910,x]<br />
  
    F[910,x] = F[911,x]<br />
  
    F[911,x] = F[23,x]*F[912,x]<br />
  
    F[912,x] = -F[965,x]+F[913,x]<br />
  
    F[913,x] = 1/F[23,x]*F[914,x]<br />
  
    F[914,x] = F[915,x]<br />
  
    F[915,x] = -F[721,x]+F[916,x]<br />
  
    F[916,x] = F[714,x]+F[917,x]<br />
  
    F[917,x] = F[918,x]<br />
  
    F[918,x] = F[23,x]*F[919,x]<br />
  
    F[919,x] = F[920,x]+F[954,x]<br />
  
    F[920,x] = 1/F[23,x]*F[921,x]<br />
  
    F[921,x] = F[922,x]<br />
  
    F[922,x] = -F[933,x]-F[94,x]+F[923,x]<br />
  
    F[923,x] = F[924,x]+F[925,x]<br />
  
    F[924,x] = F[4,x]*F[93,x]<br />
  
    F[925,x] = F[926,x]+F[927,x]<br />
  
    F[926,x] = F[61,x]*F[708,x]<br />
  
    F[927,x] = F[928,x]<br />
  
    F[928,x] = F[23,x]*F[929,x]<br />
  
    F[929,x] = F[930,x]+F[931,x]<br />
  
    F[930,x] = F[54,x]*F[706,x]<br />
  
    F[931,x] = F[932,x]<br />
  
    F[932,x] = F[506,x]*F[648,x]<br />
  
    F[933,x] = F[23,x]*F[934,x]<br />
  
    F[934,x] = -F[948,x]+F[935,x]<br />
  
    F[935,x] = F[936,x]+F[938,x]<br />
  
    F[936,x] = F[937,x]<br />
  
    F[937,x] = F[742,x]*F[94,x]<br />
  
    F[938,x] = F[939,x]<br />
  
    F[939,x] = F[23,x]*F[940,x]<br />
  
    F[940,x] = F[941,x]+F[946,x]<br />
  
    F[941,x] = F[94,x]*F[942,x]<br />
  
    F[942,x] = F[943,x]+F[945,x]<br />
  
    F[943,x] = F[289,x]+F[944,x]<br />
  
    F[944,x] = F[749,x]<br />
  
    F[945,x] = F[751,x]<br />
  
    F[946,x] = F[947,x]<br />
  
    F[947,x] = F[293,x]*F[650,x]<br />
  
    F[948,x] = F[949,x]<br />
  
    F[949,x] = F[23,x]*F[94,x]*F[950,x]<br />
  
    F[950,x] = F[765,x]+F[769,x]+F[951,x]+F[953,x]<br />
  
    F[951,x] = F[952,x]<br />
  
    F[952,x] = F[74,x]^3*F[0,x]*F[23,x]<br />
  
    F[953,x] = F[776,x]<br />
  
    F[954,x] = F[955,x]<br />
  
    F[955,x] = F[23,x]*F[956,x]<br />
  
    F[956,x] = F[957,x]+F[964,x]<br />
  
    F[957,x] = F[958,x]<br />
  
    F[958,x] = F[74,x]*F[77,x]*F[959,x]<br />
  
    F[959,x] = 1/F[23,x]*F[960,x]<br />
  
    F[960,x] = F[961,x]<br />
  
    F[961,x] = -F[773,x]-F[962,x]+F[142,x]<br />
  
    F[962,x] = F[963,x]<br />
  
    F[963,x] = F[23,x]*F[293,x]<br />
  
    F[964,x] = F[176,x]*F[831,x]<br />
  
    F[965,x] = F[966,x]<br />
  
    F[966,x] = F[74,x]^2*F[967,x]<br />
  
    F[967,x] = F[257,x]+F[968,x]<br />
  
    F[968,x] = F[969,x]<br />
  
    F[969,x] = F[23,x]*F[970,x]<br />
  
    F[970,x] = F[971,x]+F[996,x]<br />
  
    F[971,x] = -F[981,x]+F[972,x]<br />
  
    F[972,x] = 1/F[23,x]*F[973,x]<br />
  
    F[973,x] = F[974,x]<br />
  
    F[974,x] = 1/F[23,x]*F[975,x]<br />
  
    F[975,x] = -F[173,x]-F[904,x]-F[977,x]-F[979,x]+F[976,x]<br />
  
    F[976,x] = -F[6,x]+F[714,x]<br />
  
    F[977,x] = F[23,x]*F[978,x]<br />
  
    F[978,x] = -F[253,x]+F[899,x]<br />
  
    F[979,x] = F[23,x]*F[980,x]<br />
  
    F[980,x] = -F[320,x]+F[916,x]<br />
  
    F[981,x] = F[982,x]+F[996,x]<br />
  
    F[982,x] = 1/F[23,x]*F[983,x]<br />
  
    F[983,x] = F[984,x]<br />
  
    F[984,x] = -F[742,x]-F[988,x]-F[992,x]+F[985,x]<br />
  
    F[985,x] = 1/F[23,x]*F[986,x]<br />
  
    F[986,x] = F[987,x]<br />
  
    F[987,x] = -F[4,x]+F[275,x]<br />
  
    F[988,x] = F[23,x]*F[989,x]<br />
  
    F[989,x] = F[604,x]+F[990,x]<br />
  
    F[990,x] = F[991,x]<br />
  
    F[991,x] = F[59,x]*F[74,x]*F[75,x]<br />
  
    F[992,x] = F[993,x]<br />
  
    F[993,x] = F[23,x]*F[994,x]<br />
  
    F[994,x] = 1/F[23,x]*F[995,x]<br />
  
    F[995,x] = F[976,x]<br />
  
    F[996,x] = F[997,x]<br />
  
    F[997,x] = F[23,x]*F[495,x]*F[998,x]<br />
  
    F[998,x] = 1/F[124,x]/F[23,x]*F[999,x]<br />
  
    F[999,x] = F[1000,x]<br />
  
    F[1000,x] = -F[1002,x]+F[1001,x]<br />
  
    F[1001,x] = F[1002,x]+F[1003,x]<br />
  
    F[1002,x] = F[122,x]*F[74,x]<br />
  
    F[1003,x] = F[124,x]*F[167,x]<br />
  
    F[1004,x] = F[23,x]*F[905,x]<br />
  
    F[1005,x] = F[1006,x]+F[96,x]<br />
  
    F[1006,x] = F[1007,x]<br />
  
    F[1007,x] = F[1008,x]*F[23,x]<br />
  
    F[1008,x] = F[1009,x]+F[1010,x]<br />
  
    F[1009,x] = F[90,x]*F[96,x]<br />
  
    F[1010,x] = F[1011,x]<br />
  
    F[1011,x] = F[1012,x]*F[23,x]<br />
  
    F[1012,x] = F[1013,x]+F[1014,x]<br />
  
    F[1013,x] = F[604,x]*F[96,x]<br />
  
    F[1014,x] = F[1015,x]<br />
  
    F[1015,x] = F[295,x]*F[589,x]<br />
  
    F[1016,x] = F[1017,x]<br />
  
    F[1017,x] = F[1018,x]*F[124,x]<br />
  
    F[1018,x] = 1/F[23,x]*F[1019,x]<br />
  
    F[1019,x] = F[1020,x]<br />
  
    F[1020,x] = -F[1005,x]+F[1021,x]<br />
  
    F[1021,x] = 1/F[23,x]*F[1022,x]<br />
  
    F[1022,x] = -F[0,x]-F[1023,x]-F[834,x]+F[263,x]<br />
  
    F[1023,x] = F[1024,x]<br />
  
    F[1024,x] = F[1025,x]*F[23,x]<br />
  
    F[1025,x] = F[1026,x]+F[730,x]<br />
  
    F[1026,x] = F[1027,x]+F[830,x]<br />
  
    F[1027,x] = F[1028,x]<br />
  
    F[1028,x] = F[23,x]*F[837,x]<br />
  
    F[1029,x] = -F[1035,x]+F[1030,x]<br />
  
    F[1030,x] = 1/F[23,x]*F[1031,x]<br />
  
    F[1031,x] = F[1032,x]<br />
  
    F[1032,x] = -F[0,x]-F[1033,x]-F[1034,x]+F[830,x]<br />
  
    F[1033,x] = F[23,x]*F[859,x]<br />
  
    F[1034,x] = F[23,x]*F[727,x]<br />
  
    F[1035,x] = F[124,x]*F[275,x]<br />
  
    F[1036,x] = F[1037,x]<br />
  
    F[1037,x] = F[74,x]^2*F[0,x]*F[1038,x]<br />
  
    F[1038,x] = -F[1076,x]+F[1039,x]<br />
  
    F[1039,x] = 1/F[23,x]*F[1040,x]<br />
  
    F[1040,x] = F[1041,x]<br />
  
    F[1041,x] = -F[1066,x]-F[1068,x]-F[173,x]+F[1042,x]<br />
  
    F[1042,x] = F[1043,x]<br />
  
    F[1043,x] = F[1044,x]*F[23,x]<br />
  
    F[1044,x] = 1/F[257,x]*F[1045,x]<br />
  
    F[1045,x] = F[1046,x]<br />
  
    F[1046,x] = -F[1059,x]+F[1047,x]<br />
  
    F[1047,x] = 1/F[23,x]*F[1048,x]<br />
  
    F[1048,x] = F[1049,x]<br />
  
    F[1049,x] = F[1050,x]*F[23,x]<br />
  
    F[1050,x] = F[1051,x]+F[1057,x]<br />
  
    F[1051,x] = F[0,x]*F[1052,x]<br />
  
    F[1052,x] = F[1053,x]+F[1055,x]<br />
  
    F[1053,x] = 1/F[23,x]*F[1054,x]<br />
  
    F[1054,x] = F[216,x]<br />
  
    F[1055,x] = F[1056,x]<br />
  
    F[1056,x] = F[257,x]*F[401,x]<br />
  
    F[1057,x] = F[1058,x]<br />
  
    F[1058,x] = F[124,x]*F[145,x]<br />
  
    F[1059,x] = F[1060,x]+F[1065,x]<br />
  
    F[1060,x] = F[1061,x]*F[152,x]<br />
  
    F[1061,x] = 1/F[23,x]*F[1062,x]<br />
  
    F[1062,x] = F[1063,x]<br />
  
    F[1063,x] = F[1064,x]+F[173,x]+F[833,x]<br />
  
    F[1064,x] = F[23,x]*F[271,x]<br />
  
    F[1065,x] = F[0,x]*F[166,x]*F[257,x]<br />
  
    F[1066,x] = F[1067,x]<br />
  
    F[1067,x] = F[23,x]*F[74,x]*F[875,x]<br />
  
    F[1068,x] = F[1069,x]*F[23,x]<br />
  
    F[1069,x] = -F[1073,x]+F[1070,x]<br />
  
    F[1070,x] = 1/F[23,x]*F[1071,x]<br />
  
    F[1071,x] = F[1072,x]<br />
  
    F[1072,x] = F[26,x]+F[816,x]<br />
  
    F[1073,x] = F[1074,x]+F[808,x]<br />
  
    F[1074,x] = F[1075,x]<br />
  
    F[1075,x] = F[74,x]^2*F[124,x]<br />
  
    F[1076,x] = F[123,x]*F[124,x]<br />
  
    F[1077,x] = F[124,x]*F[726,x]<br />
  
    F[1078,x] = F[1079,x]<br />
  
    F[1079,x] = F[0,x]*F[74,x]*F[967,x]<br />
  
    F[1080,x] = F[732,x]<br />
  
    F[1081,x] = F[1082,x]<br />
  
    F[1082,x] = F[74,x]^2*F[0,x]*F[1042,x]<br />
  
    F[1083,x] = F[1084,x]<br />
  
    F[1084,x] = F[0,x]*F[166,x]*F[23,x]*F[967,x]<br />
  
    F[1085,x] = F[1086,x]<br />
  
    F[1086,x] = F[23,x]*F[59,x]*F[823,x]<br />
  
    F[1087,x] = F[1088,x]<br />
  
    F[1088,x] = F[166,x]*F[23,x]*F[967,x]<br />
  
    F[1089,x] = F[23,x]*F[717,x]<br />
  
    F[1090,x] = F[1091,x]*F[23,x]<br />
  
    F[1091,x] = F[1092,x]<br />
  
    F[1092,x] = F[23,x]*F[942,x]<br />
  
    F[1093,x] = F[1094,x]+F[1096,x]<br />
  
    F[1094,x] = -F[584,x]+F[1095,x]<br />
  
    F[1095,x] = F[570,x]+F[579,x]<br />
  
    F[1096,x] = F[1097,x]<br />
  
    F[1097,x] = F[1098,x]*F[75,x]<br />
  
    F[1098,x] = F[1099,x]+F[1101,x]+F[173,x]<br />
  
    F[1099,x] = F[1100,x]<br />
  
    F[1100,x] = F[23,x]^2*F[495,x]<br />
  
    F[1101,x] = F[23,x]*F[59,x]<br />
  
    F[1102,x] = -F[1107,x]+F[1103,x]<br />
  
    F[1103,x] = -F[1106,x]+F[1104,x]<br />
  
    F[1104,x] = F[1105,x]+F[577,x]<br />
  
    F[1105,x] = F[56,x]+F[563,x]<br />
  
    F[1106,x] = F[56,x]+F[65,x]<br />
  
    F[1107,x] = F[574,x]+F[579,x]<br />
  
    F[1108,x] = F[1109,x]<br />
  
    F[1109,x] = F[23,x]*F[971,x]<br />
  
    F[1110,x] = F[1111,x]<br />
  
    F[1111,x] = F[1112,x]*F[23,x]<br />
  
    F[1112,x] = -F[1115,x]+F[1113,x]<br />
  
    F[1113,x] = 1/F[23,x]*F[1114,x]<br />
  
    F[1114,x] = F[297,x]<br />
  
    F[1115,x] = F[1116,x]<br />
  
    F[1116,x] = F[1117,x]+F[1122,x]+F[1138,x]<br />
  
    F[1117,x] = F[1118,x]<br />
  
    F[1118,x] = F[1119,x]*F[23,x]<br />
  
    F[1119,x] = F[1120,x]+F[1121,x]<br />
  
    F[1120,x] = F[59,x]*F[90,x]<br />
  
    F[1121,x] = F[296,x]*F[495,x]<br />
  
    F[1122,x] = F[1123,x]<br />
  
    F[1123,x] = F[1124,x]*F[23,x]<br />
  
    F[1124,x] = F[1125,x]<br />
  
    F[1125,x] = -F[1137,x]+F[1126,x]<br />
  
    F[1126,x] = 1/F[23,x]*F[1127,x]<br />
  
    F[1127,x] = F[1128,x]<br />
  
    F[1128,x] = 1/F[23,x]*F[1129,x]<br />
  
    F[1129,x] = -F[1130,x]-F[1132,x]-F[1134,x]-F[173,x]+F[315,x]<br />
  
    F[1130,x] = F[1131,x]*F[23,x]<br />
  
    F[1131,x] = F[721,x]+F[967,x]<br />
  
    F[1132,x] = F[1133,x]<br />
  
    F[1133,x] = F[74,x]^2*F[2,x]*F[23,x]<br />
  
    F[1134,x] = F[1135,x]*F[23,x]<br />
  
    F[1135,x] = F[1091,x]+F[1136,x]<br />
  
    F[1136,x] = F[297,x]<br />
  
    F[1137,x] = F[310,x]+F[706,x]<br />
  
    F[1138,x] = F[1139,x]<br />
  
    F[1139,x] = F[1116,x]*F[23,x]<br />
  
    F[1140,x] = F[1141,x]<br />
  
    F[1141,x] = F[23,x]*F[297,x]<br />
  
    F[1142,x] = F[1143,x]<br />
  
    F[1143,x] = F[293,x]*F[523,x]<br />
  
    F[1144,x] = F[1145,x]<br />
  
    F[1145,x] = F[1146,x]*F[23,x]<br />
  
    F[1146,x] = F[1147,x]+F[1151,x]<br />
  
    F[1147,x] = F[1148,x]+F[1149,x]<br />
  
    F[1148,x] = F[269,x]*F[43,x]<br />
  
    F[1149,x] = F[1150,x]<br />
  
    F[1150,x] = F[124,x]*F[511,x]*F[77,x]<br />
  
    F[1151,x] = F[1152,x]<br />
  
    F[1152,x] = F[1153,x]*F[511,x]<br />
  
    F[1153,x] = -F[1222,x]+F[1154,x]<br />
  
    F[1154,x] = F[1155,x]+F[1159,x]<br />
  
    F[1155,x] = F[1156,x]+F[591,x]<br />
  
    F[1156,x] = F[1157,x]<br />
  
    F[1157,x] = F[1158,x]<br />
  
    F[1158,x] = F[23,x]*F[637,x]<br />
  
    F[1159,x] = F[1160,x]<br />
  
    F[1160,x] = F[1161,x]*F[23,x]<br />
  
    F[1161,x] = F[1162,x]+F[1163,x]<br />
  
    F[1162,x] = F[1155,x]*F[59,x]<br />
  
    F[1163,x] = F[1164,x]<br />
  
    F[1164,x] = F[1165,x]*F[495,x]<br />
  
    F[1165,x] = F[1166,x]<br />
  
    F[1166,x] = F[1167,x]*F[23,x]<br />
  
    F[1167,x] = F[1168,x]+F[1182,x]<br />
  
    F[1168,x] = F[1169,x]<br />
  
    F[1169,x] = -F[1181,x]+F[1170,x]<br />
  
    F[1170,x] = 1/F[507,x]*F[1171,x]<br />
  
    F[1171,x] = F[1172,x]<br />
  
    F[1172,x] = -F[1219,x]+F[1173,x]<br />
  
    F[1173,x] = F[1174,x]+F[1184,x]<br />
  
    F[1174,x] = F[1175,x]+F[1179,x]<br />
  
    F[1175,x] = F[0,x]*F[1176,x]<br />
  
    F[1176,x] = F[1115,x]+F[1177,x]<br />
  
    F[1177,x] = F[1178,x]+F[640,x]<br />
  
    F[1178,x] = F[702,x]<br />
  
    F[1179,x] = F[1180,x]<br />
  
    F[1180,x] = F[1181,x]*F[507,x]<br />
  
    F[1181,x] = F[1182,x]+F[635,x]<br />
  
    F[1182,x] = F[1183,x]<br />
  
    F[1183,x] = F[170,x]*F[23,x]*F[495,x]<br />
  
    F[1184,x] = F[1185,x]<br />
  
    F[1185,x] = -F[1214,x]+F[1186,x]<br />
  
    F[1186,x] = 1/F[23,x]*F[1187,x]<br />
  
    F[1187,x] = F[1188,x]<br />
  
    F[1188,x] = -F[1213,x]+F[1189,x]<br />
  
    F[1189,x] = F[1190,x]<br />
  
    F[1190,x] = -F[666,x]+F[1191,x]<br />
  
    F[1191,x] = 1/F[23,x]*F[1192,x]<br />
  
    F[1192,x] = -F[0,x]-F[1196,x]-F[1200,x]-F[1206,x]+F[1193,x]<br />
  
    F[1193,x] = -F[1194,x]+F[663,x]<br />
  
    F[1194,x] = F[1195,x]<br />
  
    F[1195,x] = F[507,x]*F[74,x]*F[77,x]<br />
  
    F[1196,x] = F[1197,x]<br />
  
    F[1197,x] = F[1198,x]*F[23,x]<br />
  
    F[1198,x] = 1/F[23,x]*F[1199,x]<br />
  
    F[1199,x] = F[252,x]<br />
  
    F[1200,x] = F[1201,x]*F[23,x]<br />
  
    F[1201,x] = -F[1204,x]+F[1202,x]<br />
  
    F[1202,x] = 1/F[23,x]*F[1203,x]<br />
  
    F[1203,x] = F[249,x]<br />
  
    F[1204,x] = F[1205,x]<br />
  
    F[1205,x] = F[74,x]^2*F[507,x]*F[77,x]<br />
  
    F[1206,x] = F[1207,x]*F[23,x]<br />
  
    F[1207,x] = F[1208,x]+F[656,x]<br />
  
    F[1208,x] = -F[1211,x]+F[1209,x]<br />
  
    F[1209,x] = 1/F[23,x]*F[1210,x]<br />
  
    F[1210,x] = F[150,x]<br />
  
    F[1211,x] = F[1212,x]+F[655,x]<br />
  
    F[1212,x] = F[1195,x]<br />
  
    F[1213,x] = F[0,x]*F[296,x]<br />
  
    F[1214,x] = -F[1215,x]+F[1174,x]<br />
  
    F[1215,x] = F[1216,x]+F[1217,x]<br />
  
    F[1216,x] = F[0,x]*F[1177,x]<br />
  
    F[1217,x] = F[1218,x]<br />
  
    F[1218,x] = F[507,x]*F[635,x]<br />
  
    F[1219,x] = F[0,x]*F[1220,x]<br />
  
    F[1220,x] = F[1176,x]+F[1221,x]<br />
  
    F[1221,x] = F[1112,x]<br />
  
    F[1222,x] = F[1223,x]<br />
  
    F[1223,x] = F[1157,x]+F[1224,x]<br />
  
    F[1224,x] = F[1225,x]<br />
  
    F[1225,x] = F[1226,x]*F[23,x]<br />
  
    F[1226,x] = F[1227,x]<br />
  
    F[1227,x] = F[124,x]*F[177,x]*F[23,x]*F[4,x]<br />
  
    F[1228,x] = F[1229,x]<br />
  
    F[1229,x] = F[1230,x]*F[23,x]<br />
  
    F[1230,x] = F[1231,x]+F[1232,x]<br />
  
    F[1231,x] = F[243,x]*F[56,x]<br />
  
    F[1232,x] = F[1233,x]<br />
  
    F[1233,x] = F[120,x]*F[458,x]<br />
  
    F[1234,x] = F[458,x]*F[74,x]<br />
  
    F[1235,x] = 2*F[173,x]+F[1236,x]+F[1237,x]<br />
  
    F[1236,x] = F[23,x]*F[238,x]<br />
  
    F[1237,x] = F[23,x]*F[243,x]<br />
  
    F[1238,x] = F[1239,x]*F[23,x]<br />
  
    F[1239,x] = F[1240,x]+F[224,x]<br />
  
    F[1240,x] = F[1241,x]<br />
  
    F[1241,x] = F[1242,x]*F[23,x]<br />
  
    F[1242,x] = F[1243,x]+F[1262,x]<br />
  
    F[1243,x] = F[1244,x]+F[1245,x]<br />
  
    F[1244,x] = F[54,x]*F[93,x]<br />
  
    F[1245,x] = F[1246,x]<br />
  
    F[1246,x] = F[1247,x]*F[74,x]*F[77,x]<br />
  
    F[1247,x] = F[1248,x]+F[1257,x]+F[1258,x]+F[173,x]<br />
  
    F[1248,x] = F[1249,x]*F[23,x]<br />
  
    F[1249,x] = F[1250,x]<br />
  
    F[1250,x] = F[1251,x]*F[23,x]<br />
  
    F[1251,x] = F[1252,x]+F[1256,x]<br />
  
    F[1252,x] = F[1253,x]+F[142,x]<br />
  
    F[1253,x] = F[1254,x]<br />
  
    F[1254,x] = F[1255,x]*F[23,x]<br />
  
    F[1255,x] = F[35,x]+F[688,x]<br />
  
    F[1256,x] = F[506,x]*F[74,x]<br />
  
    F[1257,x] = F[23,x]*F[54,x]<br />
  
    F[1258,x] = F[1259,x]*F[23,x]<br />
  
    F[1259,x] = F[1260,x]<br />
  
    F[1260,x] = F[1261,x]*F[23,x]<br />
  
    F[1261,x] = F[493,x]+F[548,x]<br />
  
    F[1262,x] = F[1263,x]+F[925,x]<br />
  
    F[1263,x] = F[1264,x]<br />
  
    F[1264,x] = F[142,x]*F[176,x]*F[23,x]<br />
  
    F[1265,x] = F[1266,x]+F[1267,x]<br />
  
    F[1266,x] = F[224,x]*F[37,x]<br />
  
    F[1267,x] = F[1259,x]*F[75,x]<br />
  
    F[1268,x] = F[1269,x]<br />
  
    F[1269,x] = F[1270,x]*F[23,x]<br />
  
    F[1270,x] = F[1271,x]+F[1274,x]<br />
  
    F[1271,x] = F[1272,x]+F[1273,x]<br />
  
    F[1272,x] = F[152,x]*F[56,x]<br />
  
    F[1273,x] = F[166,x]*F[257,x]<br />
  
    F[1274,x] = F[1275,x]<br />
  
    F[1275,x] = F[120,x]*F[257,x]<br />
  
    F[1276,x] = F[1277,x]+F[1279,x]+F[1303,x]+F[173,x]<br />
  
    F[1277,x] = F[1278,x]<br />
  
    F[1278,x] = F[138,x]*F[23,x]*F[74,x]<br />
  
    F[1279,x] = F[1280,x]*F[23,x]<br />
  
    F[1280,x] = F[1281,x]<br />
  
    F[1281,x] = F[1282,x]*F[23,x]<br />
  
    F[1282,x] = F[1283,x]+F[1301,x]<br />
  
    F[1283,x] = F[1284,x]+F[1299,x]<br />
  
    F[1284,x] = F[1285,x]+F[1286,x]<br />
  
    F[1285,x] = F[346,x]*F[52,x]<br />
  
    F[1286,x] = F[1287,x]<br />
  
    F[1287,x] = F[1288,x]*F[140,x]<br />
  
    F[1288,x] = F[1289,x]<br />
  
    F[1289,x] = F[1290,x]*F[23,x]<br />
  
    F[1290,x] = F[1291,x]+F[1295,x]<br />
  
    F[1291,x] = F[1292,x]+F[52,x]<br />
  
    F[1292,x] = F[1293,x]+F[402,x]<br />
  
    F[1293,x] = F[1294,x]<br />
  
    F[1294,x] = F[23,x]*F[74,x]*F[75,x]<br />
  
    F[1295,x] = -F[1292,x]+F[1296,x]<br />
  
    F[1296,x] = 1/F[23,x]*F[1297,x]<br />
  
    F[1297,x] = F[1298,x]<br />
  
    F[1298,x] = -F[75,x]+F[402,x]<br />
  
    F[1299,x] = F[1300,x]<br />
  
    F[1300,x] = F[74,x]^2*F[548,x]<br />
  
    F[1301,x] = F[1302,x]<br />
  
    F[1302,x] = F[74,x]^2*F[471,x]<br />
  
    F[1303,x] = F[1304,x]<br />
  
    F[1304,x] = F[23,x]*F[491,x]<br />
  
    F[1305,x] = F[1306,x]<br />
  
    F[1306,x] = F[123,x]*F[143,x]<br />
  
    F[1307,x] = F[1308,x]+F[1309,x]<br />
  
    F[1308,x] = F[1276,x]*F[4,x]<br />
  
    F[1309,x] = F[1310,x]<br />
  
    F[1310,x] = F[123,x]*F[138,x]*F[74,x]<br />
  
    F[1311,x] = F[256,x]<br />
  
    F[1312,x] = F[1313,x]<br />
  
    F[1313,x] = F[158,x]*F[23,x]*F[4,x]<br />
  
    F[1314,x] = -F[1315,x]+F[140,x]<br />
  
    F[1315,x] = F[142,x]+F[264,x]<br />
  
    F[1316,x] = F[164,x]*F[260,x]<br />
  
    F[1317,x] = F[1318,x]<br />
  
    F[1318,x] = -F[1337,x]+F[1319,x]<br />
  
    F[1319,x] = 1/F[23,x]*F[1320,x]<br />
  
    F[1320,x] = F[1321,x]<br />
  
    F[1321,x] = -F[160,x]+F[1322,x]<br />
  
    F[1322,x] = F[1323,x]+F[152,x]<br />
  
    F[1323,x] = F[1324,x]<br />
  
    F[1324,x] = F[1325,x]*F[23,x]<br />
  
    F[1325,x] = F[1326,x]+F[246,x]<br />
  
    F[1326,x] = F[1327,x]<br />
  
    F[1327,x] = F[1328,x]+F[1335,x]<br />
  
    F[1328,x] = F[1329,x]<br />
  
    F[1329,x] = F[1330,x]*F[74,x]<br />
  
    F[1330,x] = F[1331,x]<br />
  
    F[1331,x] = F[1332,x]*F[23,x]*F[74,x]<br />
  
    F[1332,x] = 1/F[23,x]*F[1333,x]<br />
  
    F[1333,x] = F[1334,x]<br />
  
    F[1334,x] = F[1259,x]+F[234,x]<br />
  
    F[1335,x] = F[1336,x]<br />
  
    F[1336,x] = F[23,x]*F[257,x]*F[998,x]<br />
  
    F[1337,x] = F[1338,x]+F[1344,x]<br />
  
    F[1338,x] = 1/F[23,x]*F[1339,x]<br />
  
    F[1339,x] = -F[1340,x]-F[4,x]+F[441,x]<br />
  
    F[1340,x] = F[1341,x]<br />
  
    F[1341,x] = F[1342,x]*F[23,x]<br />
  
    F[1342,x] = 1/F[23,x]*F[1343,x]<br />
  
    F[1343,x] = F[7,x]<br />
  
    F[1344,x] = -F[1347,x]+F[1345,x]<br />
  
    F[1345,x] = 1/F[23,x]*F[1346,x]<br />
  
    F[1346,x] = F[237,x]<br />
  
    F[1347,x] = F[1348,x]<br />
  
    F[1348,x] = F[1314,x]*F[74,x]<br />
  
    F[1349,x] = F[158,x]*F[23,x]<br />
  
    F[1350,x] = F[4,x]+F[506,x]<br />
  
    F[1351,x] = F[1352,x]+F[155,x]<br />
  
    F[1352,x] = F[1353,x]<br />
  
    F[1353,x] = F[257,x]*F[74,x]<br />
  
    F[1354,x] = F[138,x]*F[74,x]<br />
  
    F[1355,x] = F[1356,x]<br />
  
    F[1356,x] = F[124,x]*F[1357,x]<br />
  
    F[1357,x] = F[11,x]+F[1256,x]<br />
  
    F[1358,x] = F[1359,x]<br />
  
    F[1359,x] = F[122,x]*F[23,x]*F[74,x]<br />
  
    F[1360,x] = F[1361,x]<br />
  
    F[1361,x] = F[1362,x]*F[2,x]*F[23,x]*F[74,x]<br />
  
    F[1362,x] = 1/F[23,x]/F[74,x]*F[1363,x]<br />
  
    F[1363,x] = F[91,x]<br />
  
    F[1364,x] = F[1365,x]<br />
  
    F[1365,x] = F[1362,x]*F[2,x]*F[23,x]<br />
  
    F[1366,x] = F[1367,x]*F[2,x]<br />
  
    F[1367,x] = 1/F[23,x]*F[1368,x]<br />
  
    F[1368,x] = -F[1,x]-F[1369,x]+F[90,x]<br />
  
    F[1369,x] = F[1362,x]*F[23,x]<br />
  
    F[1370,x] = F[23,x]*F[758,x]<br />
  
    F[1371,x] = F[1,x]+F[1372,x]<br />
  
    F[1372,x] = F[1373,x]<br />
  
    F[1373,x] = F[1371,x]*F[23,x]<br />
  
    F[1374,x] = F[23,x]*F[604,x]<br />
  
    F[1375,x] = F[1376,x]<br />
  
    F[1376,x] = F[23,x]*F[985,x]<br />
  
    F[1377,x] = F[1378,x]+F[72,x]<br />
  
    F[1378,x] = F[52,x]*F[61,x]<br />
  
    F[1379,x] = F[1380,x]*F[495,x]<br />
  
    F[1380,x] = F[1381,x]<br />
  
    F[1381,x] = F[1382,x]*F[23,x]<br />
  
    F[1382,x] = F[1383,x]+F[1395,x]<br />
  
    F[1383,x] = 1/F[23,x]*F[1384,x]<br />
  
    F[1384,x] = F[1385,x]<br />
  
    F[1385,x] = -F[1388,x]+F[1386,x]<br />
  
    F[1386,x] = 1/F[23,x]*F[1387,x]<br />
  
    F[1387,x] = F[230,x]<br />
  
    F[1388,x] = -F[1392,x]+F[1389,x]<br />
  
    F[1389,x] = F[1390,x]+F[1391,x]<br />
  
    F[1390,x] = F[4,x]*F[61,x]<br />
  
    F[1391,x] = F[0,x]*F[72,x]<br />
  
    F[1392,x] = F[1393,x]+F[1394,x]<br />
  
    F[1393,x] = F[2,x]*F[81,x]<br />
  
    F[1394,x] = F[336,x]*F[61,x]<br />
  
    F[1395,x] = F[1396,x]<br />
  
    F[1396,x] = F[1397,x]*F[23,x]<br />
  
    F[1397,x] = 1/F[23,x]*F[1398,x]<br />
  
    F[1398,x] = F[1399,x]<br />
  
    F[1399,x] = F[1400,x]+F[1402,x]+F[234,x]<br />
  
    F[1400,x] = F[1401,x]<br />
  
    F[1401,x] = F[1399,x]*F[23,x]*F[74,x]<br />
  
    F[1402,x] = F[1403,x]*F[23,x]<br />
  
    F[1403,x] = 1/F[23,x]*F[1404,x]<br />
  
    F[1404,x] = -F[1439,x]-F[1441,x]-F[173,x]+F[1405,x]<br />
  
    F[1405,x] = F[1406,x]+F[1433,x]<br />
  
    F[1406,x] = F[1407,x]+F[1427,x]<br />
  
    F[1407,x] = F[1408,x]+F[1426,x]+F[173,x]<br />
  
    F[1408,x] = F[1409,x]*F[23,x]<br />
  
    F[1409,x] = F[1410,x]+F[1411,x]+F[1416,x]+F[61,x]<br />
  
    F[1410,x] = F[23,x]*F[61,x]*F[96,x]<br />
  
    F[1411,x] = F[1412,x]<br />
  
    F[1412,x] = F[1413,x]*F[23,x]<br />
  
    F[1413,x] = F[1414,x]+F[1415,x]<br />
  
    F[1414,x] = F[102,x]*F[81,x]<br />
  
    F[1415,x] = F[338,x]*F[61,x]<br />
  
    F[1416,x] = F[1417,x]<br />
  
    F[1417,x] = F[1418,x]*F[23,x]<br />
  
    F[1418,x] = F[1419,x]+F[1420,x]<br />
  
    F[1419,x] = F[1409,x]*F[61,x]<br />
  
    F[1420,x] = F[1421,x]<br />
  
    F[1421,x] = F[1422,x]*F[23,x]<br />
  
    F[1422,x] = F[1423,x]+F[1424,x]<br />
  
    F[1423,x] = F[1418,x]*F[74,x]<br />
  
    F[1424,x] = F[1425,x]<br />
  
    F[1425,x] = F[102,x]*F[1386,x]*F[164,x]<br />
  
    F[1426,x] = F[1399,x]*F[23,x]<br />
  
    F[1427,x] = F[1428,x]<br />
  
    F[1428,x] = F[1429,x]*F[23,x]<br />
  
    F[1429,x] = F[1430,x]+F[1431,x]<br />
  
    F[1430,x] = F[1407,x]*F[52,x]<br />
  
    F[1431,x] = F[1432,x]<br />
  
    F[1432,x] = F[166,x]*F[234,x]<br />
  
    F[1433,x] = F[1434,x]<br />
  
    F[1434,x] = F[1435,x]*F[23,x]<br />
  
    F[1435,x] = F[1436,x]+F[1437,x]<br />
  
    F[1436,x] = F[1405,x]*F[74,x]<br />
  
    F[1437,x] = F[1438,x]<br />
  
    F[1438,x] = F[102,x]*F[1386,x]*F[164,x]*F[23,x]<br />
  
    F[1439,x] = F[1440,x]<br />
  
    F[1440,x] = F[1418,x]*F[23,x]<br />
  
    F[1441,x] = F[1442,x]<br />
  
    F[1442,x] = F[1399,x]*F[23,x]*F[74,x]<br />
  
    F[1443,x] = F[256,x]<br />
  
    F[1444,x] = F[1445,x]<br />
  
    F[1445,x] = F[122,x]*F[511,x]<br />
  
    F[1446,x] = F[1447,x]<br />
  
    F[1447,x] = F[511,x]*F[523,x]<br />
  
    F[1448,x] = F[1449,x]<br />
  
    F[1449,x] = F[74,x]^2*F[509,x]<br />
  
    F[1450,x] = F[1451,x]<br />
  
    F[1451,x] = F[1452,x]*F[23,x]<br />
  
    F[1452,x] = F[1453,x]+F[1457,x]<br />
  
    F[1453,x] = F[1454,x]<br />
  
    F[1454,x] = F[1455,x]*F[23,x]<br />
  
    F[1455,x] = 1/F[23,x]*F[1456,x]<br />
  
    F[1456,x] = F[35,x]<br />
  
    F[1457,x] = F[1458,x]<br />
  
    F[1458,x] = F[1459,x]*F[23,x]*F[4,x]<br />
  
    F[1459,x] = F[1460,x]+F[1463,x]+F[1465,x]+F[1470,x]<br />
  
    F[1460,x] = F[12,x]+F[1461,x]<br />
  
    F[1461,x] = F[1462,x]+F[173,x]+F[427,x]<br />
  
    F[1462,x] = F[1332,x]*F[23,x]<br />
  
    F[1463,x] = F[1464,x]<br />
  
    F[1464,x] = F[74,x]^2*F[142,x]*F[23,x]<br />
  
    F[1465,x] = F[1466,x]*F[23,x]<br />
  
    F[1466,x] = F[1467,x]+F[1468,x]<br />
  
    F[1467,x] = F[1460,x]*F[77,x]<br />
  
    F[1468,x] = F[1469,x]<br />
  
    F[1469,x] = F[142,x]*F[172,x]<br />
  
    F[1470,x] = F[1471,x]*F[23,x]<br />
  
    F[1471,x] = F[1472,x]+F[1474,x]<br />
  
    F[1472,x] = F[1473,x]<br />
  
    F[1473,x] = F[1460,x]*F[74,x]*F[77,x]<br />
  
    F[1474,x] = F[1475,x]<br />
  
    F[1475,x] = F[142,x]*F[176,x]<br />
  
    F[1476,x] = F[507,x]*F[74,x]<br />
  
    F[1477,x] = F[152,x]*F[23,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_{23}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{1}\! \left(x \right)+F_{1477}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{23}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{4}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{23}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)+F_{1353}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{208}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{1253}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{0}\! \left(x \right)+F_{14}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{16}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{1476}\! \left(x \right)+F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = -F_{24}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = \frac{F_{19}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = x<br />
  
    F_{24}\! \left(x \right) = F_{1450}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{18}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{23}\! \left(x \right) F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{31}\! \left(x \right)+F_{509}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{25}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{23}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{1448}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{36}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{18}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = x F_{37} \left(x \right)^{4}+x^{2} F_{37} \left(x \right)^{2}+3 x F_{37} \left(x \right)^{3}+2 x^{2} F_{37}\! \left(x \right)+x F_{37} \left(x \right)^{2}-F_{37} \left(x \right)^{3}+x^{2}-F_{37}\! \left(x \right) x +F_{37}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{23}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{1446}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{1444}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{18}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{426}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{26}\! \left(x \right)+F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{23}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{23}\! \left(x \right) F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{1443}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{341}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{18}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = -F_{53}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{54}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{23}\! \left(x \right) F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = \frac{F_{57}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{57}\! \left(x \right) = F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = \frac{F_{60}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{60}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = x F_{61} \left(x \right)^{4}+x^{2} F_{61} \left(x \right)^{2}-F_{61} \left(x \right)^{3} x -2 x F_{61} \left(x \right)^{2}-F_{61} \left(x \right)^{3}+2 F_{61}\! \left(x \right) x +3 F_{61} \left(x \right)^{2}-2 F_{61}\! \left(x \right)+1<br />
  
    F_{62}\! \left(x \right) = F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{23}\! \left(x \right) F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{1103}\! \left(x \right)+F_{65}\! \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)+F_{82}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{0}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{70}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{37}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{23}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{23}\! \left(x \right) F_{61}\! \left(x \right) F_{74}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{1}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{23}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{1}\! \left(x \right)+F_{78}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{23}\! \left(x \right) F_{74}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{23}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{61}\! \left(x \right)+F_{72}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{83}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{23}\! \left(x \right) F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{1379}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{86}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{1377}\! \left(x \right) F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{23}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{1374}\! \left(x \right)+F_{1375}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{74}\! \left(x \right)+F_{91}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{92}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{1371}\! \left(x \right) F_{23}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = -F_{708}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = \frac{F_{95}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{95}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{1370}\! \left(x \right)-F_{710}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{4}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{101}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{102}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = \frac{F_{103}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{103}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right)+F_{106}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{2}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{108}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{110}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = \frac{F_{111}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{111}\! \left(x \right) = F_{97}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{0}\! \left(x \right) F_{113}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = -F_{1366}\! \left(x \right)+F_{114}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = \frac{F_{115}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = -F_{1364}\! \left(x \right)-F_{2}\! \left(x \right)+F_{117}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)+F_{1360}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = \frac{F_{121}\! \left(x \right)}{F_{23}\! \left(x \right) F_{74}\! \left(x \right)}<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{123}\! \left(x \right)+F_{1358}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{816}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = \frac{F_{125}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{125}\! \left(x \right) = -F_{130}\! \left(x \right)+F_{126}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = \frac{F_{127}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{129}\! \left(x \right)+F_{12}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \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_{23}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right)+F_{1355}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{0}\! \left(x \right) F_{136}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{137}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{18}\! \left(x \right)+F_{47}\! \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_{23}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{1354}\! \left(x \right)+F_{141}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = F_{142}\! \left(x \right)+F_{143}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = F_{12}\! \left(x \right)+F_{138}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = \frac{F_{146}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{146}\! \left(x \right) = F_{147}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = -F_{1351}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = \frac{F_{149}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{149}\! \left(x \right) = F_{150}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = -F_{1350}\! \left(x \right)+F_{151}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{152}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)+F_{4}\! \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_{23}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{10}\! \left(x \right)+F_{156}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{157}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{158}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{1317}\! \left(x \right)+F_{1349}\! \left(x \right)+F_{159}\! \left(x \right)+F_{193}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right) F_{163}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{10}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{166}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right)+F_{74}\! \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)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = \frac{F_{171}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{173}\! \left(x \right)+F_{174}\! \left(x \right)+F_{175}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = 0<br />
  
    F_{174}\! \left(x \right) = F_{23}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = -F_{190}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right)+F_{184}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{1}\! \left(x \right)+F_{179}\! \left(x \right)+F_{181}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{180}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{23}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{182}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{172}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{177}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{187}\! \left(x \right)+F_{188}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{178}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{172}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{74}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{172}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{194}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{1316}\! \left(x \right)+F_{196}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{197}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{198}\! \left(x \right)+F_{259}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{1314}\! \left(x \right)+F_{199}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = F_{138}\! \left(x \right)+F_{200}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = F_{11}\! \left(x \right)+F_{201}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{202}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = F_{203}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = -F_{256}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = -F_{1312}\! \left(x \right)+F_{205}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{1311}\! \left(x \right)+F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = \frac{F_{207}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{207}\! \left(x \right) = F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{209}\! \left(x \right)+F_{211}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{210}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{1307}\! \left(x \right)+F_{214}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{1305}\! \left(x \right)+F_{215}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{216}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = -F_{1276}\! \left(x \right)+F_{217}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = \frac{F_{218}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{1268}\! \left(x \right)+F_{221}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{1265}\! \left(x \right)+F_{222}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = \frac{F_{223}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{223}\! \left(x \right) = -F_{1238}\! \left(x \right)-F_{173}\! \left(x \right)-F_{226}\! \left(x \right)+F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = \frac{F_{225}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{225}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{5}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{227}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{228}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{229}\! \left(x \right)+F_{236}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = F_{230}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = F_{173}\! \left(x \right)+F_{231}\! \left(x \right)+F_{235}\! \left(x \right)<br />
  
    F_{231}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{232}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{23}\! \left(x \right) F_{233}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{234}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{23}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{237}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = -F_{1235}\! \left(x \right)+F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = F_{239}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{23}\! \left(x \right) F_{240}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{1234}\! \left(x \right)+F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{1228}\! \left(x \right)+F_{242}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{152}\! \left(x \right)+F_{244}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{23}\! \left(x \right) F_{246}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = -F_{255}\! \left(x \right)+F_{247}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = \frac{F_{248}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{248}\! \left(x \right) = F_{249}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = \frac{F_{250}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{250}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{251}\! \left(x \right)-F_{254}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{23}\! \left(x \right) F_{252}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{253}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{238}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{151}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{257}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = \frac{F_{259}\! \left(x \right)}{F_{74}\! \left(x \right)}<br />
  
    F_{259}\! \left(x \right) = -F_{200}\! \left(x \right)+F_{260}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = \frac{F_{261}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = F_{12}\! \left(x \right)+F_{264}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = F_{25}\! \left(x \right)+F_{265}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = F_{266}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = F_{23}\! \left(x \right) F_{267}\! \left(x \right)<br />
  
    F_{267}\! \left(x \right) = F_{1144}\! \left(x \right)+F_{268}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = F_{269}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{270}\! \left(x \right)+F_{271}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{0}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{278}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = \frac{F_{273}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{273}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{274}\! \left(x \right)+F_{54}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = F_{23}\! \left(x \right) F_{275}\! \left(x \right)<br />
  
    F_{275}\! \left(x \right) = \frac{F_{276}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{276}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{277}\! \left(x \right)+F_{102}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = F_{23}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{23}\! \left(x \right) F_{280}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{281}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{271}\! \left(x \right)+F_{282}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{283}\! \left(x \right)<br />
  
    F_{283}\! \left(x \right) = F_{23}\! \left(x \right) F_{284}\! \left(x \right)<br />
  
    F_{284}\! \left(x \right) = F_{285}\! \left(x \right)<br />
  
    F_{285}\! \left(x \right) = F_{23}\! \left(x \right) F_{286}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = F_{1142}\! \left(x \right)+F_{287}\! \left(x \right)<br />
  
    F_{287}\! \left(x \right) = F_{288}\! \left(x \right)+F_{291}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = F_{18}\! \left(x \right) F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = \frac{F_{290}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{290}\! \left(x \right) = F_{272}\! \left(x \right)<br />
  
    F_{291}\! \left(x \right) = F_{292}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{122}\! \left(x \right) F_{293}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = \frac{F_{294}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{294}\! \left(x \right) = F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{296}\! \left(x \right)+F_{297}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{91}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{1140}\! \left(x \right)+F_{173}\! \left(x \right)+F_{298}\! \left(x \right)+F_{305}\! \left(x \right)+F_{306}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{23}\! \left(x \right) F_{299}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = F_{300}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = F_{23}\! \left(x \right) F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = F_{302}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{302}\! \left(x \right) = F_{281}\! \left(x \right)+F_{303}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = F_{4}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = F_{295}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = F_{23}\! \left(x \right) F_{272}\! \left(x \right)<br />
  
    F_{306}\! \left(x \right) = F_{23}\! \left(x \right) F_{307}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{23}\! \left(x \right) F_{309}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{1125}\! \left(x \right)+F_{310}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = \frac{F_{311}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{311}\! \left(x \right) = -F_{1108}\! \left(x \right)-F_{1110}\! \left(x \right)-F_{257}\! \left(x \right)+F_{312}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = -F_{322}\! \left(x \right)+F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = \frac{F_{314}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{314}\! \left(x \right) = F_{315}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = \frac{F_{316}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{316}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{317}\! \left(x \right)-F_{318}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{23}\! \left(x \right) F_{253}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{23}\! \left(x \right) F_{319}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = -F_{321}\! \left(x \right)+F_{320}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{152}\! \left(x \right)+F_{249}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{325}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = \frac{F_{324}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{324}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{326}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = \frac{F_{327}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{327}\! \left(x \right) = F_{328}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = -F_{572}\! \left(x \right)+F_{329}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = -F_{550}\! \left(x \right)+F_{330}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = \frac{F_{331}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{331}\! \left(x \right) = F_{332}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = F_{23}\! \left(x \right) F_{333}\! \left(x \right)<br />
  
    F_{333}\! \left(x \right) = F_{334}\! \left(x \right)+F_{544}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{335}\! \left(x \right)+F_{339}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{336}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{173}\! \left(x \right)+F_{273}\! \left(x \right)+F_{337}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{23}\! \left(x \right) F_{338}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = -F_{102}\! \left(x \right)+F_{275}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{340}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = F_{23}\! \left(x \right) F_{341}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{23}\! \left(x \right) F_{343}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{344}\! \left(x \right)+F_{521}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{345}\! \left(x \right)+F_{519}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{18}\! \left(x \right) F_{346}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)+F_{477}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right)+F_{352}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{349}\! \left(x \right)+F_{351}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{350}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = F_{136}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{351}\! \left(x \right) = F_{23}\! \left(x \right) F_{346}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)+F_{421}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{354}\! \left(x \right)+F_{416}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{23}\! \left(x \right) F_{356}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = F_{357}\! \left(x \right)+F_{358}\! \left(x \right)<br />
  
    F_{357}\! \left(x \right) = F_{21}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{13}\! \left(x \right) F_{359}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = \frac{F_{360}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{360}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{414}\! \left(x \right)+F_{361}\! \left(x \right)<br />
  
    F_{361}\! \left(x \right) = -F_{61}\! \left(x \right)+F_{362}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = F_{0}\! \left(x \right)+F_{363}\! \left(x \right)<br />
  
    F_{363}\! \left(x \right) = F_{364}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = F_{23}\! \left(x \right) F_{365}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = F_{366}\! \left(x \right)+F_{397}\! \left(x \right)<br />
  
    F_{366}\! \left(x \right) = F_{367}\! \left(x \right)+F_{368}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{0}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{363}\! \left(x \right)+F_{369}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{23}\! \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_{363}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{374}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{23}\! \left(x \right) F_{375}\! \left(x \right) F_{61}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{376}\! \left(x \right)+F_{395}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{377}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = -F_{385}\! \left(x \right)+F_{378}\! \left(x \right)<br />
  
    F_{378}\! \left(x \right) = \frac{F_{379}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{379}\! \left(x \right) = F_{380}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = F_{173}\! \left(x \right)+F_{360}\! \left(x \right)+F_{381}\! \left(x \right)<br />
  
    F_{381}\! \left(x \right) = F_{23}\! \left(x \right) F_{382}\! \left(x \right)<br />
  
    F_{382}\! \left(x \right) = F_{383}\! \left(x \right)<br />
  
    F_{383}\! \left(x \right) = F_{102}\! \left(x \right) F_{23}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = F_{359}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{385}\! \left(x \right) = F_{386}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = F_{0}\! \left(x \right) F_{387}\! \left(x \right)<br />
  
    F_{387}\! \left(x \right) = F_{165}\! \left(x \right)+F_{173}\! \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_{23}\! \left(x \right) F_{390}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{390}\! \left(x \right) = F_{391}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = F_{23}\! \left(x \right) F_{392}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = \frac{F_{394}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{394}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{76}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{0}\! \left(x \right) F_{166}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{398}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{0}\! \left(x \right) F_{399}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{400}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{23}\! \left(x \right) F_{401}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = \frac{F_{403}\! \left(x \right)}{F_{0}\! \left(x \right) F_{74}\! \left(x \right)}<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = -F_{413}\! \left(x \right)+F_{405}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{406}\! \left(x \right)+F_{409}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{407}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = \frac{F_{408}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{408}\! \left(x \right) = F_{361}\! \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_{61}\! \left(x \right) F_{97}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{0}\! \left(x \right) F_{402}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{61}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{23}\! \left(x \right) F_{415}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{102}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{417}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{23}\! \left(x \right) F_{418}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{419}\! \left(x \right)+F_{420}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{44}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{25}\! \left(x \right) F_{359}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{422}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{23}\! \left(x \right) F_{423}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{424}\! \left(x \right)+F_{431}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{425}\! \left(x \right)+F_{429}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{426}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{173}\! \left(x \right)+F_{351}\! \left(x \right)+F_{427}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{138}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{430}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{138}\! \left(x \right) F_{359}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{432}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = F_{433}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = F_{434}\! \left(x \right)+F_{496}\! \left(x \right)<br />
  
    F_{434}\! \left(x \right) = \frac{F_{435}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{435}\! \left(x \right) = F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = -F_{440}\! \left(x \right)+F_{438}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = \frac{F_{439}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{439}\! \left(x \right) = F_{336}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = -F_{443}\! \left(x \right)+F_{441}\! \left(x \right)<br />
  
    F_{441}\! \left(x \right) = \frac{F_{442}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{442}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = F_{4}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = -F_{320}\! \left(x \right)+F_{445}\! \left(x \right)<br />
  
    F_{445}\! \left(x \right) = F_{446}\! \left(x \right)+F_{448}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = \frac{F_{447}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{447}\! \left(x \right) = F_{230}\! \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_{23}\! \left(x \right)}<br />
  
    F_{450}\! \left(x \right) = F_{62}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{452}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{23}\! \left(x \right) F_{453}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{454}\! \left(x \right)+F_{456}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{455}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{243}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{457}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{458}\! \left(x \right)+F_{467}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{459}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = \frac{F_{460}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{460}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{461}\! \left(x \right)-F_{464}\! \left(x \right)-F_{465}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{23}\! \left(x \right) F_{462}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{463}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = F_{23}\! \left(x \right) F_{260}\! \left(x \right)<br />
  
    F_{464}\! \left(x \right) = F_{160}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = F_{466}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{23}\! \left(x \right) F_{257}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{23}\! \left(x \right) F_{469}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = F_{470}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = -F_{485}\! \left(x \right)+F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = \frac{F_{472}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{23}\! \left(x \right) F_{474}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = \frac{F_{475}\! \left(x \right)}{F_{23}\! \left(x \right) F_{74}\! \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) = -F_{352}\! \left(x \right)+F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = \frac{F_{479}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = -F_{54}\! \left(x \right)+F_{224}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{482}\! \left(x \right)+F_{483}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = -F_{354}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = -F_{484}\! \left(x \right)+F_{216}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{416}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = -F_{494}\! \left(x \right)+F_{486}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = -F_{490}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{488}\! \left(x \right) = \frac{F_{489}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{489}\! \left(x \right) = F_{315}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = -F_{493}\! \left(x \right)+F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = \frac{F_{492}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{492}\! \left(x \right) = F_{222}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{471}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{258}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{118}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{497}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{23}\! \left(x \right) F_{498}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{499}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{23}\! \left(x \right) F_{500}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = \frac{F_{501}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{501}\! \left(x \right) = F_{502}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = \frac{F_{503}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{503}\! \left(x \right) = F_{504}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{512}\! \left(x \right)-F_{518}\! \left(x \right)+F_{505}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{467}\! \left(x \right)+F_{506}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{507}\! \left(x \right)+F_{509}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{508}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = F_{13}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{509}\! \left(x \right) = F_{510}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{23}\! \left(x \right) F_{511}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{138}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{23}\! \left(x \right) F_{513}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{514}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{23}\! \left(x \right) F_{515}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = \frac{F_{516}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{516}\! \left(x \right) = F_{517}\! \left(x \right)<br />
  
    F_{517}\! \left(x \right) = -F_{443}\! \left(x \right)+F_{142}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = F_{23}\! \left(x \right) F_{443}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = F_{520}\! \left(x \right)<br />
  
    F_{520}\! \left(x \right) = F_{122}\! \left(x \right) F_{140}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{522}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{140}\! \left(x \right) F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = -F_{543}\! \left(x \right)+F_{524}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = \frac{F_{525}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{525}\! \left(x \right) = -F_{540}\! \left(x \right)-F_{541}\! \left(x \right)+F_{526}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = \frac{F_{527}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{527}\! \left(x \right) = F_{528}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = F_{2}\! \left(x \right)+F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = F_{173}\! \left(x \right)+F_{530}\! \left(x \right)+F_{538}\! \left(x \right)<br />
  
    F_{530}\! \left(x \right) = F_{23}\! \left(x \right) F_{531}\! \left(x \right)<br />
  
    F_{531}\! \left(x \right) = F_{532}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{23}\! \left(x \right) F_{533}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = F_{534}\! \left(x \right)+F_{536}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = F_{535}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{535}\! \left(x \right) = F_{4}\! \left(x \right)+F_{531}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{164}\! \left(x \right) F_{4}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{539}\! \left(x \right)+F_{124}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{0}\! \left(x \right)+F_{124}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{542}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{23}\! \left(x \right) F_{533}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{122}\! \left(x \right)+F_{18}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{545}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{546}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{23}\! \left(x \right) F_{547}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{487}\! \left(x \right)+F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = -F_{549}\! \left(x \right)+F_{488}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{346}\! \left(x \right)+F_{487}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{551}\! \left(x \right)+F_{562}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{552}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{23}\! \left(x \right) F_{553}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{554}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{23}\! \left(x \right) F_{555}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{556}\! \left(x \right)+F_{560}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = F_{52}\! \left(x \right) F_{557}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = F_{558}\! \left(x \right)+F_{559}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = F_{52}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = F_{234}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{560}\! \left(x \right) = F_{561}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{234}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{562}\! \left(x \right) = -F_{569}\! \left(x \right)+F_{563}\! \left(x \right)<br />
  
    F_{563}\! \left(x \right) = F_{564}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = F_{23}\! \left(x \right) F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = F_{566}\! \left(x \right)+F_{567}\! \left(x \right)<br />
  
    F_{566}\! \left(x \right) = F_{52}\! \left(x \right) F_{56}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{568}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{120}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{551}\! \left(x \right)+F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{571}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{23}\! \left(x \right) F_{557}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = -F_{562}\! \left(x \right)+F_{573}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{1102}\! \left(x \right)+F_{574}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = -F_{1093}\! \left(x \right)+F_{575}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = -F_{582}\! \left(x \right)+F_{576}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = F_{563}\! \left(x \right)+F_{577}\! \left(x \right)<br />
  
    F_{577}\! \left(x \right) = \frac{F_{578}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{578}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{581}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = -F_{580}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{570}\! \left(x \right)+F_{59}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{23}\! \left(x \right) F_{323}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = \frac{F_{583}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{583}\! \left(x \right) = -F_{210}\! \left(x \right)-F_{628}\! \left(x \right)+F_{584}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = F_{173}\! \left(x \right)+F_{585}\! \left(x \right)+F_{627}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = F_{586}\! \left(x \right)<br />
  
    F_{586}\! \left(x \right) = F_{23}\! \left(x \right) F_{587}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{588}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = F_{23}\! \left(x \right) F_{589}\! \left(x \right)<br />
  
    F_{589}\! \left(x \right) = \frac{F_{590}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{590}\! \left(x \right) = F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = \frac{F_{592}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{592}\! \left(x \right) = -F_{595}\! \left(x \right)+F_{593}\! \left(x \right)<br />
  
    F_{593}\! \left(x \right) = \frac{F_{594}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{594}\! \left(x \right) = F_{338}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = F_{596}\! \left(x \right)+F_{597}\! \left(x \right)<br />
  
    F_{596}\! \left(x \right) = F_{0}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{597}\! \left(x \right) = F_{598}\! \left(x \right)+F_{600}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = F_{599}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = F_{100}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = F_{601}\! \left(x \right)<br />
  
    F_{601}\! \left(x \right) = F_{23}\! \left(x \right) F_{602}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = F_{603}\! \left(x \right)+F_{606}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{599}\! \left(x \right) F_{604}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = \frac{F_{605}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{605}\! \left(x \right) = F_{272}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = F_{607}\! \left(x \right)<br />
  
    F_{607}\! \left(x \right) = F_{589}\! \left(x \right) F_{608}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = F_{609}\! \left(x \right)<br />
  
    F_{609}\! \left(x \right) = F_{23}\! \left(x \right) F_{610}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = F_{611}\! \left(x \right)+F_{626}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = F_{102}\! \left(x \right)+F_{612}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = F_{613}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = F_{23}\! \left(x \right) F_{614}\! \left(x \right)<br />
  
    F_{614}\! \left(x \right) = F_{615}\! \left(x \right)+F_{625}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = F_{616}\! \left(x \right)+F_{617}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = F_{0}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{617}\! \left(x \right) = F_{618}\! \left(x \right)+F_{619}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = F_{599}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = F_{620}\! \left(x \right)<br />
  
    F_{620}\! \left(x \right) = F_{23}\! \left(x \right) F_{621}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = F_{622}\! \left(x \right)+F_{623}\! \left(x \right)<br />
  
    F_{622}\! \left(x \right) = F_{56}\! \left(x \right) F_{599}\! \left(x \right)<br />
  
    F_{623}\! \left(x \right) = F_{624}\! \left(x \right)<br />
  
    F_{624}\! \left(x \right) = F_{120}\! \left(x \right) F_{608}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = F_{608}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = F_{0}\! \left(x \right) F_{124}\! \left(x \right)<br />
  
    F_{627}\! \left(x \right) = F_{23}\! \left(x \right) F_{604}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = F_{23}\! \left(x \right) F_{629}\! \left(x \right)<br />
  
    F_{629}\! \left(x \right) = F_{630}\! \left(x \right)+F_{643}\! \left(x \right)<br />
  
    F_{630}\! \left(x \right) = F_{173}\! \left(x \right)+F_{631}\! \left(x \right)+F_{639}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = F_{632}\! \left(x \right)<br />
  
    F_{632}\! \left(x \right) = F_{23}\! \left(x \right) F_{633}\! \left(x \right)<br />
  
    F_{633}\! \left(x \right) = F_{634}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = F_{23}\! \left(x \right) F_{635}\! \left(x \right)<br />
  
    F_{635}\! \left(x \right) = F_{589}\! \left(x \right)+F_{636}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = F_{637}\! \left(x \right)<br />
  
    F_{637}\! \left(x \right) = F_{638}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = F_{177}\! \left(x \right) F_{23}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = F_{23}\! \left(x \right) F_{640}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{604}\! \left(x \right)+F_{641}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{642}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{177}\! \left(x \right) F_{23}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{173}\! \left(x \right)+F_{644}\! \left(x \right)+F_{700}\! \left(x \right)+F_{705}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = F_{645}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{23}\! \left(x \right) F_{646}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{23}\! \left(x \right) F_{648}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = \frac{F_{649}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{649}\! \left(x \right) = F_{650}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = \frac{F_{651}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{651}\! \left(x \right) = -F_{673}\! \left(x \right)+F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = \frac{F_{653}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{653}\! \left(x \right) = F_{654}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = -F_{671}\! \left(x \right)-F_{94}\! \left(x \right)+F_{655}\! \left(x \right)<br />
  
    F_{655}\! \left(x \right) = F_{656}\! \left(x \right)+F_{669}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = \frac{F_{657}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{657}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{661}\! \left(x \right)-F_{665}\! \left(x \right)+F_{658}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = F_{659}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{659}\! \left(x \right) = F_{660}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = F_{23}\! \left(x \right) F_{593}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = F_{662}\! \left(x \right)<br />
  
    F_{662}\! \left(x \right) = F_{23}\! \left(x \right) F_{663}\! \left(x \right)<br />
  
    F_{663}\! \left(x \right) = \frac{F_{664}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{664}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{23}\! \left(x \right) F_{666}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{658}\! \left(x \right)+F_{667}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{668}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{13}\! \left(x \right) F_{177}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = F_{670}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{13}\! \left(x \right) F_{177}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{672}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{0}\! \left(x \right) F_{177}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = F_{674}\! \left(x \right)+F_{677}\! \left(x \right)<br />
  
    F_{674}\! \left(x \right) = F_{675}\! \left(x \right)+F_{676}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = F_{0}\! \left(x \right) F_{94}\! \left(x \right)<br />
  
    F_{676}\! \left(x \right) = F_{177}\! \left(x \right) F_{507}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{678}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = F_{23}\! \left(x \right) F_{679}\! \left(x \right)<br />
  
    F_{679}\! \left(x \right) = F_{680}\! \left(x \right)+F_{698}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = F_{681}\! \left(x \right)+F_{684}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = F_{682}\! \left(x \right)+F_{683}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = F_{18}\! \left(x \right) F_{94}\! \left(x \right)<br />
  
    F_{683}\! \left(x \right) = F_{13}\! \left(x \right) F_{177}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{684}\! \left(x \right) = F_{177}\! \left(x \right) F_{685}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = F_{686}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = F_{23}\! \left(x \right) F_{687}\! \left(x \right)<br />
  
    F_{687}\! \left(x \right) = F_{688}\! \left(x \right)+F_{696}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = F_{18}\! \left(x \right)+F_{689}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = F_{690}\! \left(x \right)<br />
  
    F_{690}\! \left(x \right) = F_{23}\! \left(x \right) F_{691}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = F_{692}\! \left(x \right)+F_{695}\! \left(x \right)<br />
  
    F_{692}\! \left(x \right) = F_{693}\! \left(x \right)+F_{694}\! \left(x \right)<br />
  
    F_{693}\! \left(x \right) = F_{18}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{694}\! \left(x \right) = F_{122}\! \left(x \right) F_{13}\! \left(x \right)<br />
  
    F_{695}\! \left(x \right) = F_{13}\! \left(x \right) F_{523}\! \left(x \right)<br />
  
    F_{696}\! \left(x \right) = F_{697}\! \left(x \right)<br />
  
    F_{697}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{507}\! \left(x \right)<br />
  
    F_{698}\! \left(x \right) = F_{699}\! \left(x \right)<br />
  
    F_{699}\! \left(x \right) = F_{16}\! \left(x \right) F_{650}\! \left(x \right)<br />
  
    F_{700}\! \left(x \right) = F_{701}\! \left(x \right)<br />
  
    F_{701}\! \left(x \right) = F_{23}\! \left(x \right) F_{702}\! \left(x \right)<br />
  
    F_{702}\! \left(x \right) = F_{703}\! \left(x \right)+F_{704}\! \left(x \right)<br />
  
    F_{703}\! \left(x \right) = F_{168}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{704}\! \left(x \right) = F_{168}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{705}\! \left(x \right) = F_{23}\! \left(x \right) F_{706}\! \left(x \right)<br />
  
    F_{706}\! \left(x \right) = \frac{F_{707}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{707}\! \left(x \right) = F_{708}\! \left(x \right)<br />
  
    F_{708}\! \left(x \right) = \frac{F_{709}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{709}\! \left(x \right) = -F_{1090}\! \left(x \right)-F_{173}\! \left(x \right)-F_{710}\! \left(x \right)+F_{272}\! \left(x \right)<br />
  
    F_{710}\! \left(x \right) = F_{23}\! \left(x \right) F_{711}\! \left(x \right)<br />
  
    F_{711}\! \left(x \right) = \frac{F_{712}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{712}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{1089}\! \left(x \right)-F_{713}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{713}\! \left(x \right) = F_{23}\! \left(x \right) F_{714}\! \left(x \right)<br />
  
    F_{714}\! \left(x \right) = \frac{F_{715}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{715}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{716}\! \left(x \right)-F_{720}\! \left(x \right)+F_{275}\! \left(x \right)<br />
  
    F_{716}\! \left(x \right) = F_{23}\! \left(x \right) F_{717}\! \left(x \right)<br />
  
    F_{717}\! \left(x \right) = F_{718}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{718}\! \left(x \right) = F_{719}\! \left(x \right)<br />
  
    F_{719}\! \left(x \right) = F_{0}\! \left(x \right) F_{74}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{720}\! \left(x \right) = F_{23}\! \left(x \right) F_{721}\! \left(x \right)<br />
  
    F_{721}\! \left(x \right) = F_{275}\! \left(x \right)+F_{722}\! \left(x \right)<br />
  
    F_{722}\! \left(x \right) = F_{723}\! \left(x \right)<br />
  
    F_{723}\! \left(x \right) = F_{23}\! \left(x \right) F_{724}\! \left(x \right)<br />
  
    F_{724}\! \left(x \right) = F_{725}\! \left(x \right)+F_{821}\! \left(x \right)<br />
  
    F_{725}\! \left(x \right) = F_{726}\! \left(x \right)+F_{819}\! \left(x \right)<br />
  
    F_{726}\! \left(x \right) = F_{727}\! \left(x \right)+F_{732}\! \left(x \right)<br />
  
    F_{727}\! \left(x \right) = -F_{730}\! \left(x \right)+F_{728}\! \left(x \right)<br />
  
    F_{728}\! \left(x \right) = \frac{F_{729}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{729}\! \left(x \right) = F_{338}\! \left(x \right)<br />
  
    F_{730}\! \left(x \right) = F_{731}\! \left(x \right)<br />
  
    F_{731}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{124}\! \left(x \right)<br />
  
    F_{732}\! \left(x \right) = -F_{814}\! \left(x \right)+F_{733}\! \left(x \right)<br />
  
    F_{733}\! \left(x \right) = \frac{F_{734}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{734}\! \left(x \right) = F_{735}\! \left(x \right)<br />
  
    F_{735}\! \left(x \right) = -F_{26}\! \left(x \right)-F_{738}\! \left(x \right)-F_{752}\! \left(x \right)+F_{736}\! \left(x \right)<br />
  
    F_{736}\! \left(x \right) = F_{339}\! \left(x \right)+F_{737}\! \left(x \right)<br />
  
    F_{737}\! \left(x \right) = F_{26}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{738}\! \left(x \right) = F_{23}\! \left(x \right) F_{739}\! \left(x \right)<br />
  
    F_{739}\! \left(x \right) = F_{740}\! \left(x \right)+F_{744}\! \left(x \right)<br />
  
    F_{740}\! \left(x \right) = F_{741}\! \left(x \right)<br />
  
    F_{741}\! \left(x \right) = F_{26}\! \left(x \right) F_{742}\! \left(x \right)<br />
  
    F_{742}\! \left(x \right) = F_{743}\! \left(x \right)+F_{91}\! \left(x \right)<br />
  
    F_{743}\! \left(x \right) = F_{74} \left(x \right)^{2}<br />
  
    F_{744}\! \left(x \right) = F_{282}\! \left(x \right)+F_{745}\! \left(x \right)<br />
  
    F_{745}\! \left(x \right) = F_{746}\! \left(x \right)<br />
  
    F_{746}\! \left(x \right) = F_{23}\! \left(x \right) F_{26}\! \left(x \right) F_{747}\! \left(x \right)<br />
  
    F_{747}\! \left(x \right) = F_{748}\! \left(x \right)+F_{750}\! \left(x \right)<br />
  
    F_{748}\! \left(x \right) = F_{749}\! \left(x \right)<br />
  
    F_{749}\! \left(x \right) = F_{21}\! \left(x \right) F_{74}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{750}\! \left(x \right) = F_{751}\! \left(x \right)<br />
  
    F_{751}\! \left(x \right) = F_{0}\! \left(x \right) F_{702}\! \left(x \right)<br />
  
    F_{752}\! \left(x \right) = F_{23}\! \left(x \right) F_{753}\! \left(x \right)<br />
  
    F_{753}\! \left(x \right) = -F_{806}\! \left(x \right)+F_{754}\! \left(x \right)<br />
  
    F_{754}\! \left(x \right) = \frac{F_{755}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{755}\! \left(x \right) = -F_{4}\! \left(x \right)-F_{783}\! \left(x \right)-F_{800}\! \left(x \right)-F_{804}\! \left(x \right)+F_{756}\! \left(x \right)<br />
  
    F_{756}\! \left(x \right) = F_{739}\! \left(x \right)+F_{757}\! \left(x \right)<br />
  
    F_{757}\! \left(x \right) = F_{758}\! \left(x \right)+F_{779}\! \left(x \right)<br />
  
    F_{758}\! \left(x \right) = F_{759}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{759}\! \left(x \right) = F_{760}\! \left(x \right)<br />
  
    F_{760}\! \left(x \right) = F_{173}\! \left(x \right)+F_{761}\! \left(x \right)+F_{763}\! \left(x \right)+F_{774}\! \left(x \right)<br />
  
    F_{761}\! \left(x \right) = F_{762}\! \left(x \right)<br />
  
    F_{762}\! \left(x \right) = F_{0}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{763}\! \left(x \right) = F_{23}\! \left(x \right) F_{764}\! \left(x \right)<br />
  
    F_{764}\! \left(x \right) = F_{765}\! \left(x \right)<br />
  
    F_{765}\! \left(x \right) = F_{23}\! \left(x \right) F_{766}\! \left(x \right)<br />
  
    F_{766}\! \left(x \right) = F_{767}\! \left(x \right)+F_{777}\! \left(x \right)<br />
  
    F_{767}\! \left(x \right) = F_{768}\! \left(x \right)<br />
  
    F_{768}\! \left(x \right) = F_{74}\! \left(x \right) F_{769}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{769}\! \left(x \right) = F_{1}\! \left(x \right)+F_{770}\! \left(x \right)+F_{774}\! \left(x \right)<br />
  
    F_{770}\! \left(x \right) = F_{771}\! \left(x \right)<br />
  
    F_{771}\! \left(x \right) = F_{23}\! \left(x \right) F_{772}\! \left(x \right)<br />
  
    F_{772}\! \left(x \right) = F_{26}\! \left(x \right)+F_{773}\! \left(x \right)<br />
  
    F_{773}\! \left(x \right) = F_{0}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{774}\! \left(x \right) = F_{23}\! \left(x \right) F_{775}\! \left(x \right)<br />
  
    F_{775}\! \left(x \right) = F_{769}\! \left(x \right)+F_{776}\! \left(x \right)<br />
  
    F_{776}\! \left(x \right) = F_{760}\! \left(x \right)<br />
  
    F_{777}\! \left(x \right) = F_{778}\! \left(x \right)<br />
  
    F_{778}\! \left(x \right) = F_{0}\! \left(x \right) F_{176}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{779}\! \left(x \right) = F_{780}\! \left(x \right)<br />
  
    F_{780}\! \left(x \right) = F_{23}\! \left(x \right) F_{781}\! \left(x \right)<br />
  
    F_{781}\! \left(x \right) = F_{756}\! \left(x \right)+F_{782}\! \left(x \right)<br />
  
    F_{782}\! \left(x \right) = F_{304}\! \left(x \right)<br />
  
    F_{783}\! \left(x \right) = F_{784}\! \left(x \right)<br />
  
    F_{784}\! \left(x \right) = F_{23}\! \left(x \right) F_{785}\! \left(x \right)<br />
  
    F_{785}\! \left(x \right) = F_{786}\! \left(x \right)+F_{799}\! \left(x \right)<br />
  
    F_{786}\! \left(x \right) = -F_{797}\! \left(x \right)+F_{787}\! \left(x \right)<br />
  
    F_{787}\! \left(x \right) = \frac{F_{788}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{788}\! \left(x \right) = F_{789}\! \left(x \right)<br />
  
    F_{789}\! \left(x \right) = F_{790}\! \left(x \right)<br />
  
    F_{790}\! \left(x \right) = F_{23}\! \left(x \right) F_{791}\! \left(x \right)<br />
  
    F_{791}\! \left(x \right) = F_{792}\! \left(x \right)+F_{795}\! \left(x \right)<br />
  
    F_{792}\! \left(x \right) = F_{59}\! \left(x \right) F_{793}\! \left(x \right)<br />
  
    F_{793}\! \left(x \right) = F_{711}\! \left(x \right)+F_{794}\! \left(x \right)<br />
  
    F_{794}\! \left(x \right) = F_{719}\! \left(x \right)<br />
  
    F_{795}\! \left(x \right) = F_{796}\! \left(x \right)<br />
  
    F_{796}\! \left(x \right) = F_{299}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{797}\! \left(x \right) = F_{798}\! \left(x \right)<br />
  
    F_{798}\! \left(x \right) = F_{299}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{799}\! \left(x \right) = F_{123}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{800}\! \left(x \right) = F_{23}\! \left(x \right) F_{801}\! \left(x \right)<br />
  
    F_{801}\! \left(x \right) = F_{756}\! \left(x \right)+F_{802}\! \left(x \right)<br />
  
    F_{802}\! \left(x \right) = F_{803}\! \left(x \right)<br />
  
    F_{803}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right) F_{766}\! \left(x \right)<br />
  
    F_{804}\! \left(x \right) = F_{805}\! \left(x \right)<br />
  
    F_{805}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right) F_{775}\! \left(x \right)<br />
  
    F_{806}\! \left(x \right) = \frac{F_{807}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{807}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{811}\! \left(x \right)-F_{813}\! \left(x \right)+F_{808}\! \left(x \right)<br />
  
    F_{808}\! \left(x \right) = F_{152}\! \left(x \right)+F_{809}\! \left(x \right)<br />
  
    F_{809}\! \left(x \right) = F_{810}\! \left(x \right)<br />
  
    F_{810}\! \left(x \right) = F_{23}\! \left(x \right) F_{9}\! \left(x \right)<br />
  
    F_{811}\! \left(x \right) = F_{812}\! \left(x \right)<br />
  
    F_{812}\! \left(x \right) = F_{23}\! \left(x \right) F_{728}\! \left(x \right)<br />
  
    F_{813}\! \left(x \right) = F_{23}\! \left(x \right) F_{757}\! \left(x \right)<br />
  
    F_{814}\! \left(x \right) = F_{815}\! \left(x \right)<br />
  
    F_{815}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{816}\! \left(x \right)<br />
  
    F_{816}\! \left(x \right) = F_{817}\! \left(x \right)<br />
  
    F_{817}\! \left(x \right) = F_{23}\! \left(x \right) F_{818}\! \left(x \right)<br />
  
    F_{818}\! \left(x \right) = F_{122}\! \left(x \right)+F_{523}\! \left(x \right)<br />
  
    F_{819}\! \left(x \right) = F_{820}\! \left(x \right)<br />
  
    F_{820}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{123}\! \left(x \right)<br />
  
    F_{821}\! \left(x \right) = F_{1087}\! \left(x \right)+F_{822}\! \left(x \right)<br />
  
    F_{822}\! \left(x \right) = F_{74}\! \left(x \right) F_{823}\! \left(x \right)<br />
  
    F_{823}\! \left(x \right) = -F_{1085}\! \left(x \right)+F_{824}\! \left(x \right)<br />
  
    F_{824}\! \left(x \right) = \frac{F_{825}\! \left(x \right)}{F_{74}\! \left(x \right)}<br />
  
    F_{825}\! \left(x \right) = -F_{1083}\! \left(x \right)+F_{826}\! \left(x \right)<br />
  
    F_{826}\! \left(x \right) = -F_{837}\! \left(x \right)+F_{827}\! \left(x \right)<br />
  
    F_{827}\! \left(x \right) = \frac{F_{828}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{828}\! \left(x \right) = F_{829}\! \left(x \right)<br />
  
    F_{829}\! \left(x \right) = -F_{830}\! \left(x \right)+F_{727}\! \left(x \right)<br />
  
    F_{830}\! \left(x \right) = -F_{835}\! \left(x \right)+F_{831}\! \left(x \right)<br />
  
    F_{831}\! \left(x \right) = \frac{F_{832}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{832}\! \left(x \right) = F_{833}\! \left(x \right)<br />
  
    F_{833}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{834}\! \left(x \right)+F_{12}\! \left(x \right)<br />
  
    F_{834}\! \left(x \right) = F_{23}\! \left(x \right) F_{269}\! \left(x \right)<br />
  
    F_{835}\! \left(x \right) = F_{836}\! \left(x \right)<br />
  
    F_{836}\! \left(x \right) = F_{0}\! \left(x \right) F_{124}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{837}\! \left(x \right) = F_{1081}\! \left(x \right)+F_{838}\! \left(x \right)<br />
  
    F_{838}\! \left(x \right) = F_{1080}\! \left(x \right)+F_{727}\! \left(x \right)+F_{839}\! \left(x \right)<br />
  
    F_{839}\! \left(x \right) = F_{840}\! \left(x \right)<br />
  
    F_{840}\! \left(x \right) = F_{23}\! \left(x \right) F_{841}\! \left(x \right)<br />
  
    F_{841}\! \left(x \right) = -F_{1078}\! \left(x \right)+F_{842}\! \left(x \right)<br />
  
    F_{842}\! \left(x \right) = F_{1077}\! \left(x \right)+F_{843}\! \left(x \right)<br />
  
    F_{843}\! \left(x \right) = -F_{1036}\! \left(x \right)+F_{844}\! \left(x \right)<br />
  
    F_{844}\! \left(x \right) = \frac{F_{845}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{845}\! \left(x \right) = F_{846}\! \left(x \right)<br />
  
    F_{846}\! \left(x \right) = -F_{1029}\! \left(x \right)+F_{847}\! \left(x \right)<br />
  
    F_{847}\! \left(x \right) = \frac{F_{848}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{848}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{855}\! \left(x \right)-F_{884}\! \left(x \right)-F_{886}\! \left(x \right)+F_{849}\! \left(x \right)<br />
  
    F_{849}\! \left(x \right) = F_{227}\! \left(x \right)+F_{850}\! \left(x \right)<br />
  
    F_{850}\! \left(x \right) = F_{851}\! \left(x \right)<br />
  
    F_{851}\! \left(x \right) = F_{23}\! \left(x \right) F_{852}\! \left(x \right)<br />
  
    F_{852}\! \left(x \right) = F_{853}\! \left(x \right)+F_{854}\! \left(x \right)<br />
  
    F_{853}\! \left(x \right) = F_{227}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{854}\! \left(x \right) = F_{462}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{855}\! \left(x \right) = F_{856}\! \left(x \right)<br />
  
    F_{856}\! \left(x \right) = F_{23}\! \left(x \right) F_{857}\! \left(x \right)<br />
  
    F_{857}\! \left(x \right) = F_{858}\! \left(x \right)+F_{883}\! \left(x \right)<br />
  
    F_{858}\! \left(x \right) = F_{859}\! \left(x \right)+F_{881}\! \left(x \right)<br />
  
    F_{859}\! \left(x \right) = F_{860}\! \left(x \right)+F_{873}\! \left(x \right)<br />
  
    F_{860}\! \left(x \right) = F_{861}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{861}\! \left(x \right) = F_{862}\! \left(x \right)<br />
  
    F_{862}\! \left(x \right) = F_{23}\! \left(x \right) F_{863}\! \left(x \right)<br />
  
    F_{863}\! \left(x \right) = F_{864}\! \left(x \right)+F_{871}\! \left(x \right)<br />
  
    F_{864}\! \left(x \right) = F_{865}\! \left(x \right)+F_{866}\! \left(x \right)<br />
  
    F_{865}\! \left(x \right) = F_{4} \left(x \right)^{2}<br />
  
    F_{866}\! \left(x \right) = F_{867}\! \left(x \right)<br />
  
    F_{867}\! \left(x \right) = F_{23}\! \left(x \right) F_{868}\! \left(x \right)<br />
  
    F_{868}\! \left(x \right) = F_{869}\! \left(x \right)+F_{870}\! \left(x \right)<br />
  
    F_{869}\! \left(x \right) = F_{110}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{870}\! \left(x \right) = F_{0}\! \left(x \right) F_{123}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{871}\! \left(x \right) = F_{872}\! \left(x \right)<br />
  
    F_{872}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{873}\! \left(x \right) = F_{874}\! \left(x \right)<br />
  
    F_{874}\! \left(x \right) = F_{0}\! \left(x \right) F_{75}\! \left(x \right) F_{875}\! \left(x \right)<br />
  
    F_{875}\! \left(x \right) = F_{0}\! \left(x \right)+F_{876}\! \left(x \right)<br />
  
    F_{876}\! \left(x \right) = F_{877}\! \left(x \right)<br />
  
    F_{877}\! \left(x \right) = F_{23}\! \left(x \right) F_{878}\! \left(x \right)<br />
  
    F_{878}\! \left(x \right) = F_{879}\! \left(x \right)+F_{880}\! \left(x \right)<br />
  
    F_{879}\! \left(x \right) = F_{0}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{880}\! \left(x \right) = F_{124}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{881}\! \left(x \right) = F_{882}\! \left(x \right)<br />
  
    F_{882}\! \left(x \right) = F_{0}\! \left(x \right) F_{74}\! \left(x \right) F_{75}\! \left(x \right) F_{875}\! \left(x \right)<br />
  
    F_{883}\! \left(x \right) = F_{124}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{884}\! \left(x \right) = F_{23}\! \left(x \right) F_{885}\! \left(x \right)<br />
  
    F_{885}\! \left(x \right) = F_{789}\! \left(x \right)+F_{793}\! \left(x \right)<br />
  
    F_{886}\! \left(x \right) = F_{23}\! \left(x \right) F_{887}\! \left(x \right)<br />
  
    F_{887}\! \left(x \right) = F_{888}\! \left(x \right)+F_{889}\! \left(x \right)<br />
  
    F_{888}\! \left(x \right) = F_{0}\! \left(x \right) F_{711}\! \left(x \right)<br />
  
    F_{889}\! \left(x \right) = F_{890}\! \left(x \right)<br />
  
    F_{890}\! \left(x \right) = F_{23}\! \left(x \right) F_{891}\! \left(x \right)<br />
  
    F_{891}\! \left(x \right) = F_{1016}\! \left(x \right)+F_{892}\! \left(x \right)<br />
  
    F_{892}\! \left(x \right) = F_{0}\! \left(x \right) F_{893}\! \left(x \right)<br />
  
    F_{893}\! \left(x \right) = \frac{F_{894}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{894}\! \left(x \right) = F_{895}\! \left(x \right)<br />
  
    F_{895}\! \left(x \right) = -F_{1005}\! \left(x \right)+F_{896}\! \left(x \right)<br />
  
    F_{896}\! \left(x \right) = \frac{F_{897}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{897}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{1004}\! \left(x \right)-F_{712}\! \left(x \right)-F_{898}\! \left(x \right)+F_{253}\! \left(x \right)<br />
  
    F_{898}\! \left(x \right) = F_{23}\! \left(x \right) F_{899}\! \left(x \right)<br />
  
    F_{899}\! \left(x \right) = \frac{F_{900}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{900}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{720}\! \left(x \right)-F_{904}\! \left(x \right)-F_{908}\! \left(x \right)+F_{901}\! \left(x \right)<br />
  
    F_{901}\! \left(x \right) = F_{275}\! \left(x \right)+F_{902}\! \left(x \right)<br />
  
    F_{902}\! \left(x \right) = F_{903}\! \left(x \right)<br />
  
    F_{903}\! \left(x \right) = F_{23}\! \left(x \right) F_{725}\! \left(x \right)<br />
  
    F_{904}\! \left(x \right) = F_{23}\! \left(x \right) F_{905}\! \left(x \right)<br />
  
    F_{905}\! \left(x \right) = F_{717}\! \left(x \right)+F_{906}\! \left(x \right)<br />
  
    F_{906}\! \left(x \right) = F_{907}\! \left(x \right)<br />
  
    F_{907}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{908}\! \left(x \right) = F_{23}\! \left(x \right) F_{909}\! \left(x \right)<br />
  
    F_{909}\! \left(x \right) = F_{721}\! \left(x \right)+F_{910}\! \left(x \right)<br />
  
    F_{910}\! \left(x \right) = F_{911}\! \left(x \right)<br />
  
    F_{911}\! \left(x \right) = F_{23}\! \left(x \right) F_{912}\! \left(x \right)<br />
  
    F_{912}\! \left(x \right) = -F_{965}\! \left(x \right)+F_{913}\! \left(x \right)<br />
  
    F_{913}\! \left(x \right) = \frac{F_{914}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{914}\! \left(x \right) = F_{915}\! \left(x \right)<br />
  
    F_{915}\! \left(x \right) = -F_{721}\! \left(x \right)+F_{916}\! \left(x \right)<br />
  
    F_{916}\! \left(x \right) = F_{714}\! \left(x \right)+F_{917}\! \left(x \right)<br />
  
    F_{917}\! \left(x \right) = F_{918}\! \left(x \right)<br />
  
    F_{918}\! \left(x \right) = F_{23}\! \left(x \right) F_{919}\! \left(x \right)<br />
  
    F_{919}\! \left(x \right) = F_{920}\! \left(x \right)+F_{954}\! \left(x \right)<br />
  
    F_{920}\! \left(x \right) = \frac{F_{921}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{921}\! \left(x \right) = F_{922}\! \left(x \right)<br />
  
    F_{922}\! \left(x \right) = -F_{933}\! \left(x \right)-F_{94}\! \left(x \right)+F_{923}\! \left(x \right)<br />
  
    F_{923}\! \left(x \right) = F_{924}\! \left(x \right)+F_{925}\! \left(x \right)<br />
  
    F_{924}\! \left(x \right) = F_{4}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{925}\! \left(x \right) = F_{926}\! \left(x \right)+F_{927}\! \left(x \right)<br />
  
    F_{926}\! \left(x \right) = F_{61}\! \left(x \right) F_{708}\! \left(x \right)<br />
  
    F_{927}\! \left(x \right) = F_{928}\! \left(x \right)<br />
  
    F_{928}\! \left(x \right) = F_{23}\! \left(x \right) F_{929}\! \left(x \right)<br />
  
    F_{929}\! \left(x \right) = F_{930}\! \left(x \right)+F_{931}\! \left(x \right)<br />
  
    F_{930}\! \left(x \right) = F_{54}\! \left(x \right) F_{706}\! \left(x \right)<br />
  
    F_{931}\! \left(x \right) = F_{932}\! \left(x \right)<br />
  
    F_{932}\! \left(x \right) = F_{506}\! \left(x \right) F_{648}\! \left(x \right)<br />
  
    F_{933}\! \left(x \right) = F_{23}\! \left(x \right) F_{934}\! \left(x \right)<br />
  
    F_{934}\! \left(x \right) = -F_{948}\! \left(x \right)+F_{935}\! \left(x \right)<br />
  
    F_{935}\! \left(x \right) = F_{936}\! \left(x \right)+F_{938}\! \left(x \right)<br />
  
    F_{936}\! \left(x \right) = F_{937}\! \left(x \right)<br />
  
    F_{937}\! \left(x \right) = F_{742}\! \left(x \right) F_{94}\! \left(x \right)<br />
  
    F_{938}\! \left(x \right) = F_{939}\! \left(x \right)<br />
  
    F_{939}\! \left(x \right) = F_{23}\! \left(x \right) F_{940}\! \left(x \right)<br />
  
    F_{940}\! \left(x \right) = F_{941}\! \left(x \right)+F_{946}\! \left(x \right)<br />
  
    F_{941}\! \left(x \right) = F_{94}\! \left(x \right) F_{942}\! \left(x \right)<br />
  
    F_{942}\! \left(x \right) = F_{943}\! \left(x \right)+F_{945}\! \left(x \right)<br />
  
    F_{943}\! \left(x \right) = F_{289}\! \left(x \right)+F_{944}\! \left(x \right)<br />
  
    F_{944}\! \left(x \right) = F_{749}\! \left(x \right)<br />
  
    F_{945}\! \left(x \right) = F_{751}\! \left(x \right)<br />
  
    F_{946}\! \left(x \right) = F_{947}\! \left(x \right)<br />
  
    F_{947}\! \left(x \right) = F_{293}\! \left(x \right) F_{650}\! \left(x \right)<br />
  
    F_{948}\! \left(x \right) = F_{949}\! \left(x \right)<br />
  
    F_{949}\! \left(x \right) = F_{23}\! \left(x \right) F_{94}\! \left(x \right) F_{950}\! \left(x \right)<br />
  
    F_{950}\! \left(x \right) = F_{765}\! \left(x \right)+F_{769}\! \left(x \right)+F_{951}\! \left(x \right)+F_{953}\! \left(x \right)<br />
  
    F_{951}\! \left(x \right) = F_{952}\! \left(x \right)<br />
  
    F_{952}\! \left(x \right) = F_{74} \left(x \right)^{3} F_{0}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{953}\! \left(x \right) = F_{776}\! \left(x \right)<br />
  
    F_{954}\! \left(x \right) = F_{955}\! \left(x \right)<br />
  
    F_{955}\! \left(x \right) = F_{23}\! \left(x \right) F_{956}\! \left(x \right)<br />
  
    F_{956}\! \left(x \right) = F_{957}\! \left(x \right)+F_{964}\! \left(x \right)<br />
  
    F_{957}\! \left(x \right) = F_{958}\! \left(x \right)<br />
  
    F_{958}\! \left(x \right) = F_{74}\! \left(x \right) F_{77}\! \left(x \right) F_{959}\! \left(x \right)<br />
  
    F_{959}\! \left(x \right) = \frac{F_{960}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{960}\! \left(x \right) = F_{961}\! \left(x \right)<br />
  
    F_{961}\! \left(x \right) = -F_{773}\! \left(x \right)-F_{962}\! \left(x \right)+F_{142}\! \left(x \right)<br />
  
    F_{962}\! \left(x \right) = F_{963}\! \left(x \right)<br />
  
    F_{963}\! \left(x \right) = F_{23}\! \left(x \right) F_{293}\! \left(x \right)<br />
  
    F_{964}\! \left(x \right) = F_{176}\! \left(x \right) F_{831}\! \left(x \right)<br />
  
    F_{965}\! \left(x \right) = F_{966}\! \left(x \right)<br />
  
    F_{966}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{967}\! \left(x \right)<br />
  
    F_{967}\! \left(x \right) = F_{257}\! \left(x \right)+F_{968}\! \left(x \right)<br />
  
    F_{968}\! \left(x \right) = F_{969}\! \left(x \right)<br />
  
    F_{969}\! \left(x \right) = F_{23}\! \left(x \right) F_{970}\! \left(x \right)<br />
  
    F_{970}\! \left(x \right) = F_{971}\! \left(x \right)+F_{996}\! \left(x \right)<br />
  
    F_{971}\! \left(x \right) = -F_{981}\! \left(x \right)+F_{972}\! \left(x \right)<br />
  
    F_{972}\! \left(x \right) = \frac{F_{973}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{973}\! \left(x \right) = F_{974}\! \left(x \right)<br />
  
    F_{974}\! \left(x \right) = \frac{F_{975}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{975}\! \left(x \right) = -F_{173}\! \left(x \right)-F_{904}\! \left(x \right)-F_{977}\! \left(x \right)-F_{979}\! \left(x \right)+F_{976}\! \left(x \right)<br />
  
    F_{976}\! \left(x \right) = -F_{6}\! \left(x \right)+F_{714}\! \left(x \right)<br />
  
    F_{977}\! \left(x \right) = F_{23}\! \left(x \right) F_{978}\! \left(x \right)<br />
  
    F_{978}\! \left(x \right) = -F_{253}\! \left(x \right)+F_{899}\! \left(x \right)<br />
  
    F_{979}\! \left(x \right) = F_{23}\! \left(x \right) F_{980}\! \left(x \right)<br />
  
    F_{980}\! \left(x \right) = -F_{320}\! \left(x \right)+F_{916}\! \left(x \right)<br />
  
    F_{981}\! \left(x \right) = F_{982}\! \left(x \right)+F_{996}\! \left(x \right)<br />
  
    F_{982}\! \left(x \right) = \frac{F_{983}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{983}\! \left(x \right) = F_{984}\! \left(x \right)<br />
  
    F_{984}\! \left(x \right) = -F_{742}\! \left(x \right)-F_{988}\! \left(x \right)-F_{992}\! \left(x \right)+F_{985}\! \left(x \right)<br />
  
    F_{985}\! \left(x \right) = \frac{F_{986}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{986}\! \left(x \right) = F_{987}\! \left(x \right)<br />
  
    F_{987}\! \left(x \right) = -F_{4}\! \left(x \right)+F_{275}\! \left(x \right)<br />
  
    F_{988}\! \left(x \right) = F_{23}\! \left(x \right) F_{989}\! \left(x \right)<br />
  
    F_{989}\! \left(x \right) = F_{604}\! \left(x \right)+F_{990}\! \left(x \right)<br />
  
    F_{990}\! \left(x \right) = F_{991}\! \left(x \right)<br />
  
    F_{991}\! \left(x \right) = F_{59}\! \left(x \right) F_{74}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{992}\! \left(x \right) = F_{993}\! \left(x \right)<br />
  
    F_{993}\! \left(x \right) = F_{23}\! \left(x \right) F_{994}\! \left(x \right)<br />
  
    F_{994}\! \left(x \right) = \frac{F_{995}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{995}\! \left(x \right) = F_{976}\! \left(x \right)<br />
  
    F_{996}\! \left(x \right) = F_{997}\! \left(x \right)<br />
  
    F_{997}\! \left(x \right) = F_{23}\! \left(x \right) F_{495}\! \left(x \right) F_{998}\! \left(x \right)<br />
  
    F_{998}\! \left(x \right) = \frac{F_{999}\! \left(x \right)}{F_{124}\! \left(x \right) F_{23}\! \left(x \right)}<br />
  
    F_{999}\! \left(x \right) = F_{1000}\! \left(x \right)<br />
  
    F_{1000}\! \left(x \right) = -F_{1002}\! \left(x \right)+F_{1001}\! \left(x \right)<br />
  
    F_{1001}\! \left(x \right) = F_{1002}\! \left(x \right)+F_{1003}\! \left(x \right)<br />
  
    F_{1002}\! \left(x \right) = F_{122}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1003}\! \left(x \right) = F_{124}\! \left(x \right) F_{167}\! \left(x \right)<br />
  
    F_{1004}\! \left(x \right) = F_{23}\! \left(x \right) F_{905}\! \left(x \right)<br />
  
    F_{1005}\! \left(x \right) = F_{1006}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{1006}\! \left(x \right) = F_{1007}\! \left(x \right)<br />
  
    F_{1007}\! \left(x \right) = F_{1008}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1008}\! \left(x \right) = F_{1009}\! \left(x \right)+F_{1010}\! \left(x \right)<br />
  
    F_{1009}\! \left(x \right) = F_{90}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{1010}\! \left(x \right) = F_{1011}\! \left(x \right)<br />
  
    F_{1011}\! \left(x \right) = F_{1012}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1012}\! \left(x \right) = F_{1013}\! \left(x \right)+F_{1014}\! \left(x \right)<br />
  
    F_{1013}\! \left(x \right) = F_{604}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{1014}\! \left(x \right) = F_{1015}\! \left(x \right)<br />
  
    F_{1015}\! \left(x \right) = F_{295}\! \left(x \right) F_{589}\! \left(x \right)<br />
  
    F_{1016}\! \left(x \right) = F_{1017}\! \left(x \right)<br />
  
    F_{1017}\! \left(x \right) = F_{1018}\! \left(x \right) F_{124}\! \left(x \right)<br />
  
    F_{1018}\! \left(x \right) = \frac{F_{1019}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1019}\! \left(x \right) = F_{1020}\! \left(x \right)<br />
  
    F_{1020}\! \left(x \right) = -F_{1005}\! \left(x \right)+F_{1021}\! \left(x \right)<br />
  
    F_{1021}\! \left(x \right) = \frac{F_{1022}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1022}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{1023}\! \left(x \right)-F_{834}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{1023}\! \left(x \right) = F_{1024}\! \left(x \right)<br />
  
    F_{1024}\! \left(x \right) = F_{1025}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1025}\! \left(x \right) = F_{1026}\! \left(x \right)+F_{730}\! \left(x \right)<br />
  
    F_{1026}\! \left(x \right) = F_{1027}\! \left(x \right)+F_{830}\! \left(x \right)<br />
  
    F_{1027}\! \left(x \right) = F_{1028}\! \left(x \right)<br />
  
    F_{1028}\! \left(x \right) = F_{23}\! \left(x \right) F_{837}\! \left(x \right)<br />
  
    F_{1029}\! \left(x \right) = -F_{1035}\! \left(x \right)+F_{1030}\! \left(x \right)<br />
  
    F_{1030}\! \left(x \right) = \frac{F_{1031}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1031}\! \left(x \right) = F_{1032}\! \left(x \right)<br />
  
    F_{1032}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{1033}\! \left(x \right)-F_{1034}\! \left(x \right)+F_{830}\! \left(x \right)<br />
  
    F_{1033}\! \left(x \right) = F_{23}\! \left(x \right) F_{859}\! \left(x \right)<br />
  
    F_{1034}\! \left(x \right) = F_{23}\! \left(x \right) F_{727}\! \left(x \right)<br />
  
    F_{1035}\! \left(x \right) = F_{124}\! \left(x \right) F_{275}\! \left(x \right)<br />
  
    F_{1036}\! \left(x \right) = F_{1037}\! \left(x \right)<br />
  
    F_{1037}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{1038}\! \left(x \right)<br />
  
    F_{1038}\! \left(x \right) = -F_{1076}\! \left(x \right)+F_{1039}\! \left(x \right)<br />
  
    F_{1039}\! \left(x \right) = \frac{F_{1040}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1040}\! \left(x \right) = F_{1041}\! \left(x \right)<br />
  
    F_{1041}\! \left(x \right) = -F_{1066}\! \left(x \right)-F_{1068}\! \left(x \right)-F_{173}\! \left(x \right)+F_{1042}\! \left(x \right)<br />
  
    F_{1042}\! \left(x \right) = F_{1043}\! \left(x \right)<br />
  
    F_{1043}\! \left(x \right) = F_{1044}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1044}\! \left(x \right) = \frac{F_{1045}\! \left(x \right)}{F_{257}\! \left(x \right)}<br />
  
    F_{1045}\! \left(x \right) = F_{1046}\! \left(x \right)<br />
  
    F_{1046}\! \left(x \right) = -F_{1059}\! \left(x \right)+F_{1047}\! \left(x \right)<br />
  
    F_{1047}\! \left(x \right) = \frac{F_{1048}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1048}\! \left(x \right) = F_{1049}\! \left(x \right)<br />
  
    F_{1049}\! \left(x \right) = F_{1050}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1050}\! \left(x \right) = F_{1051}\! \left(x \right)+F_{1057}\! \left(x \right)<br />
  
    F_{1051}\! \left(x \right) = F_{0}\! \left(x \right) F_{1052}\! \left(x \right)<br />
  
    F_{1052}\! \left(x \right) = F_{1053}\! \left(x \right)+F_{1055}\! \left(x \right)<br />
  
    F_{1053}\! \left(x \right) = \frac{F_{1054}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1054}\! \left(x \right) = F_{216}\! \left(x \right)<br />
  
    F_{1055}\! \left(x \right) = F_{1056}\! \left(x \right)<br />
  
    F_{1056}\! \left(x \right) = F_{257}\! \left(x \right) F_{401}\! \left(x \right)<br />
  
    F_{1057}\! \left(x \right) = F_{1058}\! \left(x \right)<br />
  
    F_{1058}\! \left(x \right) = F_{124}\! \left(x \right) F_{145}\! \left(x \right)<br />
  
    F_{1059}\! \left(x \right) = F_{1060}\! \left(x \right)+F_{1065}\! \left(x \right)<br />
  
    F_{1060}\! \left(x \right) = F_{1061}\! \left(x \right) F_{152}\! \left(x \right)<br />
  
    F_{1061}\! \left(x \right) = \frac{F_{1062}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1062}\! \left(x \right) = F_{1063}\! \left(x \right)<br />
  
    F_{1063}\! \left(x \right) = F_{1064}\! \left(x \right)+F_{173}\! \left(x \right)+F_{833}\! \left(x \right)<br />
  
    F_{1064}\! \left(x \right) = F_{23}\! \left(x \right) F_{271}\! \left(x \right)<br />
  
    F_{1065}\! \left(x \right) = F_{0}\! \left(x \right) F_{166}\! \left(x \right) F_{257}\! \left(x \right)<br />
  
    F_{1066}\! \left(x \right) = F_{1067}\! \left(x \right)<br />
  
    F_{1067}\! \left(x \right) = F_{23}\! \left(x \right) F_{74}\! \left(x \right) F_{875}\! \left(x \right)<br />
  
    F_{1068}\! \left(x \right) = F_{1069}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1069}\! \left(x \right) = -F_{1073}\! \left(x \right)+F_{1070}\! \left(x \right)<br />
  
    F_{1070}\! \left(x \right) = \frac{F_{1071}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1071}\! \left(x \right) = F_{1072}\! \left(x \right)<br />
  
    F_{1072}\! \left(x \right) = F_{26}\! \left(x \right)+F_{816}\! \left(x \right)<br />
  
    F_{1073}\! \left(x \right) = F_{1074}\! \left(x \right)+F_{808}\! \left(x \right)<br />
  
    F_{1074}\! \left(x \right) = F_{1075}\! \left(x \right)<br />
  
    F_{1075}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{124}\! \left(x \right)<br />
  
    F_{1076}\! \left(x \right) = F_{123}\! \left(x \right) F_{124}\! \left(x \right)<br />
  
    F_{1077}\! \left(x \right) = F_{124}\! \left(x \right) F_{726}\! \left(x \right)<br />
  
    F_{1078}\! \left(x \right) = F_{1079}\! \left(x \right)<br />
  
    F_{1079}\! \left(x \right) = F_{0}\! \left(x \right) F_{74}\! \left(x \right) F_{967}\! \left(x \right)<br />
  
    F_{1080}\! \left(x \right) = F_{732}\! \left(x \right)<br />
  
    F_{1081}\! \left(x \right) = F_{1082}\! \left(x \right)<br />
  
    F_{1082}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{0}\! \left(x \right) F_{1042}\! \left(x \right)<br />
  
    F_{1083}\! \left(x \right) = F_{1084}\! \left(x \right)<br />
  
    F_{1084}\! \left(x \right) = F_{0}\! \left(x \right) F_{166}\! \left(x \right) F_{23}\! \left(x \right) F_{967}\! \left(x \right)<br />
  
    F_{1085}\! \left(x \right) = F_{1086}\! \left(x \right)<br />
  
    F_{1086}\! \left(x \right) = F_{23}\! \left(x \right) F_{59}\! \left(x \right) F_{823}\! \left(x \right)<br />
  
    F_{1087}\! \left(x \right) = F_{1088}\! \left(x \right)<br />
  
    F_{1088}\! \left(x \right) = F_{166}\! \left(x \right) F_{23}\! \left(x \right) F_{967}\! \left(x \right)<br />
  
    F_{1089}\! \left(x \right) = F_{23}\! \left(x \right) F_{717}\! \left(x \right)<br />
  
    F_{1090}\! \left(x \right) = F_{1091}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1091}\! \left(x \right) = F_{1092}\! \left(x \right)<br />
  
    F_{1092}\! \left(x \right) = F_{23}\! \left(x \right) F_{942}\! \left(x \right)<br />
  
    F_{1093}\! \left(x \right) = F_{1094}\! \left(x \right)+F_{1096}\! \left(x \right)<br />
  
    F_{1094}\! \left(x \right) = -F_{584}\! \left(x \right)+F_{1095}\! \left(x \right)<br />
  
    F_{1095}\! \left(x \right) = F_{570}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{1096}\! \left(x \right) = F_{1097}\! \left(x \right)<br />
  
    F_{1097}\! \left(x \right) = F_{1098}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{1098}\! \left(x \right) = F_{1099}\! \left(x \right)+F_{1101}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{1099}\! \left(x \right) = F_{1100}\! \left(x \right)<br />
  
    F_{1100}\! \left(x \right) = F_{23} \left(x \right)^{2} F_{495}\! \left(x \right)<br />
  
    F_{1101}\! \left(x \right) = F_{23}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{1102}\! \left(x \right) = -F_{1107}\! \left(x \right)+F_{1103}\! \left(x \right)<br />
  
    F_{1103}\! \left(x \right) = -F_{1106}\! \left(x \right)+F_{1104}\! \left(x \right)<br />
  
    F_{1104}\! \left(x \right) = F_{1105}\! \left(x \right)+F_{577}\! \left(x \right)<br />
  
    F_{1105}\! \left(x \right) = F_{56}\! \left(x \right)+F_{563}\! \left(x \right)<br />
  
    F_{1106}\! \left(x \right) = F_{56}\! \left(x \right)+F_{65}\! \left(x \right)<br />
  
    F_{1107}\! \left(x \right) = F_{574}\! \left(x \right)+F_{579}\! \left(x \right)<br />
  
    F_{1108}\! \left(x \right) = F_{1109}\! \left(x \right)<br />
  
    F_{1109}\! \left(x \right) = F_{23}\! \left(x \right) F_{971}\! \left(x \right)<br />
  
    F_{1110}\! \left(x \right) = F_{1111}\! \left(x \right)<br />
  
    F_{1111}\! \left(x \right) = F_{1112}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1112}\! \left(x \right) = -F_{1115}\! \left(x \right)+F_{1113}\! \left(x \right)<br />
  
    F_{1113}\! \left(x \right) = \frac{F_{1114}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1114}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{1115}\! \left(x \right) = F_{1116}\! \left(x \right)<br />
  
    F_{1116}\! \left(x \right) = F_{1117}\! \left(x \right)+F_{1122}\! \left(x \right)+F_{1138}\! \left(x \right)<br />
  
    F_{1117}\! \left(x \right) = F_{1118}\! \left(x \right)<br />
  
    F_{1118}\! \left(x \right) = F_{1119}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1119}\! \left(x \right) = F_{1120}\! \left(x \right)+F_{1121}\! \left(x \right)<br />
  
    F_{1120}\! \left(x \right) = F_{59}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{1121}\! \left(x \right) = F_{296}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{1122}\! \left(x \right) = F_{1123}\! \left(x \right)<br />
  
    F_{1123}\! \left(x \right) = F_{1124}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1124}\! \left(x \right) = F_{1125}\! \left(x \right)<br />
  
    F_{1125}\! \left(x \right) = -F_{1137}\! \left(x \right)+F_{1126}\! \left(x \right)<br />
  
    F_{1126}\! \left(x \right) = \frac{F_{1127}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1127}\! \left(x \right) = F_{1128}\! \left(x \right)<br />
  
    F_{1128}\! \left(x \right) = \frac{F_{1129}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1129}\! \left(x \right) = -F_{1130}\! \left(x \right)-F_{1132}\! \left(x \right)-F_{1134}\! \left(x \right)-F_{173}\! \left(x \right)+F_{315}\! \left(x \right)<br />
  
    F_{1130}\! \left(x \right) = F_{1131}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1131}\! \left(x \right) = F_{721}\! \left(x \right)+F_{967}\! \left(x \right)<br />
  
    F_{1132}\! \left(x \right) = F_{1133}\! \left(x \right)<br />
  
    F_{1133}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{2}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1134}\! \left(x \right) = F_{1135}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1135}\! \left(x \right) = F_{1091}\! \left(x \right)+F_{1136}\! \left(x \right)<br />
  
    F_{1136}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{1137}\! \left(x \right) = F_{310}\! \left(x \right)+F_{706}\! \left(x \right)<br />
  
    F_{1138}\! \left(x \right) = F_{1139}\! \left(x \right)<br />
  
    F_{1139}\! \left(x \right) = F_{1116}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1140}\! \left(x \right) = F_{1141}\! \left(x \right)<br />
  
    F_{1141}\! \left(x \right) = F_{23}\! \left(x \right) F_{297}\! \left(x \right)<br />
  
    F_{1142}\! \left(x \right) = F_{1143}\! \left(x \right)<br />
  
    F_{1143}\! \left(x \right) = F_{293}\! \left(x \right) F_{523}\! \left(x \right)<br />
  
    F_{1144}\! \left(x \right) = F_{1145}\! \left(x \right)<br />
  
    F_{1145}\! \left(x \right) = F_{1146}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1146}\! \left(x \right) = F_{1147}\! \left(x \right)+F_{1151}\! \left(x \right)<br />
  
    F_{1147}\! \left(x \right) = F_{1148}\! \left(x \right)+F_{1149}\! \left(x \right)<br />
  
    F_{1148}\! \left(x \right) = F_{269}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{1149}\! \left(x \right) = F_{1150}\! \left(x \right)<br />
  
    F_{1150}\! \left(x \right) = F_{124}\! \left(x \right) F_{511}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{1151}\! \left(x \right) = F_{1152}\! \left(x \right)<br />
  
    F_{1152}\! \left(x \right) = F_{1153}\! \left(x \right) F_{511}\! \left(x \right)<br />
  
    F_{1153}\! \left(x \right) = -F_{1222}\! \left(x \right)+F_{1154}\! \left(x \right)<br />
  
    F_{1154}\! \left(x \right) = F_{1155}\! \left(x \right)+F_{1159}\! \left(x \right)<br />
  
    F_{1155}\! \left(x \right) = F_{1156}\! \left(x \right)+F_{591}\! \left(x \right)<br />
  
    F_{1156}\! \left(x \right) = F_{1157}\! \left(x \right)<br />
  
    F_{1157}\! \left(x \right) = F_{1158}\! \left(x \right)<br />
  
    F_{1158}\! \left(x \right) = F_{23}\! \left(x \right) F_{637}\! \left(x \right)<br />
  
    F_{1159}\! \left(x \right) = F_{1160}\! \left(x \right)<br />
  
    F_{1160}\! \left(x \right) = F_{1161}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1161}\! \left(x \right) = F_{1162}\! \left(x \right)+F_{1163}\! \left(x \right)<br />
  
    F_{1162}\! \left(x \right) = F_{1155}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{1163}\! \left(x \right) = F_{1164}\! \left(x \right)<br />
  
    F_{1164}\! \left(x \right) = F_{1165}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{1165}\! \left(x \right) = F_{1166}\! \left(x \right)<br />
  
    F_{1166}\! \left(x \right) = F_{1167}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1167}\! \left(x \right) = F_{1168}\! \left(x \right)+F_{1182}\! \left(x \right)<br />
  
    F_{1168}\! \left(x \right) = F_{1169}\! \left(x \right)<br />
  
    F_{1169}\! \left(x \right) = -F_{1181}\! \left(x \right)+F_{1170}\! \left(x \right)<br />
  
    F_{1170}\! \left(x \right) = \frac{F_{1171}\! \left(x \right)}{F_{507}\! \left(x \right)}<br />
  
    F_{1171}\! \left(x \right) = F_{1172}\! \left(x \right)<br />
  
    F_{1172}\! \left(x \right) = -F_{1219}\! \left(x \right)+F_{1173}\! \left(x \right)<br />
  
    F_{1173}\! \left(x \right) = F_{1174}\! \left(x \right)+F_{1184}\! \left(x \right)<br />
  
    F_{1174}\! \left(x \right) = F_{1175}\! \left(x \right)+F_{1179}\! \left(x \right)<br />
  
    F_{1175}\! \left(x \right) = F_{0}\! \left(x \right) F_{1176}\! \left(x \right)<br />
  
    F_{1176}\! \left(x \right) = F_{1115}\! \left(x \right)+F_{1177}\! \left(x \right)<br />
  
    F_{1177}\! \left(x \right) = F_{1178}\! \left(x \right)+F_{640}\! \left(x \right)<br />
  
    F_{1178}\! \left(x \right) = F_{702}\! \left(x \right)<br />
  
    F_{1179}\! \left(x \right) = F_{1180}\! \left(x \right)<br />
  
    F_{1180}\! \left(x \right) = F_{1181}\! \left(x \right) F_{507}\! \left(x \right)<br />
  
    F_{1181}\! \left(x \right) = F_{1182}\! \left(x \right)+F_{635}\! \left(x \right)<br />
  
    F_{1182}\! \left(x \right) = F_{1183}\! \left(x \right)<br />
  
    F_{1183}\! \left(x \right) = F_{170}\! \left(x \right) F_{23}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{1184}\! \left(x \right) = F_{1185}\! \left(x \right)<br />
  
    F_{1185}\! \left(x \right) = -F_{1214}\! \left(x \right)+F_{1186}\! \left(x \right)<br />
  
    F_{1186}\! \left(x \right) = \frac{F_{1187}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1187}\! \left(x \right) = F_{1188}\! \left(x \right)<br />
  
    F_{1188}\! \left(x \right) = -F_{1213}\! \left(x \right)+F_{1189}\! \left(x \right)<br />
  
    F_{1189}\! \left(x \right) = F_{1190}\! \left(x \right)<br />
  
    F_{1190}\! \left(x \right) = -F_{666}\! \left(x \right)+F_{1191}\! \left(x \right)<br />
  
    F_{1191}\! \left(x \right) = \frac{F_{1192}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1192}\! \left(x \right) = -F_{0}\! \left(x \right)-F_{1196}\! \left(x \right)-F_{1200}\! \left(x \right)-F_{1206}\! \left(x \right)+F_{1193}\! \left(x \right)<br />
  
    F_{1193}\! \left(x \right) = -F_{1194}\! \left(x \right)+F_{663}\! \left(x \right)<br />
  
    F_{1194}\! \left(x \right) = F_{1195}\! \left(x \right)<br />
  
    F_{1195}\! \left(x \right) = F_{507}\! \left(x \right) F_{74}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{1196}\! \left(x \right) = F_{1197}\! \left(x \right)<br />
  
    F_{1197}\! \left(x \right) = F_{1198}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1198}\! \left(x \right) = \frac{F_{1199}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1199}\! \left(x \right) = F_{252}\! \left(x \right)<br />
  
    F_{1200}\! \left(x \right) = F_{1201}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1201}\! \left(x \right) = -F_{1204}\! \left(x \right)+F_{1202}\! \left(x \right)<br />
  
    F_{1202}\! \left(x \right) = \frac{F_{1203}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1203}\! \left(x \right) = F_{249}\! \left(x \right)<br />
  
    F_{1204}\! \left(x \right) = F_{1205}\! \left(x \right)<br />
  
    F_{1205}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{507}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{1206}\! \left(x \right) = F_{1207}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1207}\! \left(x \right) = F_{1208}\! \left(x \right)+F_{656}\! \left(x \right)<br />
  
    F_{1208}\! \left(x \right) = -F_{1211}\! \left(x \right)+F_{1209}\! \left(x \right)<br />
  
    F_{1209}\! \left(x \right) = \frac{F_{1210}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1210}\! \left(x \right) = F_{150}\! \left(x \right)<br />
  
    F_{1211}\! \left(x \right) = F_{1212}\! \left(x \right)+F_{655}\! \left(x \right)<br />
  
    F_{1212}\! \left(x \right) = F_{1195}\! \left(x \right)<br />
  
    F_{1213}\! \left(x \right) = F_{0}\! \left(x \right) F_{296}\! \left(x \right)<br />
  
    F_{1214}\! \left(x \right) = -F_{1215}\! \left(x \right)+F_{1174}\! \left(x \right)<br />
  
    F_{1215}\! \left(x \right) = F_{1216}\! \left(x \right)+F_{1217}\! \left(x \right)<br />
  
    F_{1216}\! \left(x \right) = F_{0}\! \left(x \right) F_{1177}\! \left(x \right)<br />
  
    F_{1217}\! \left(x \right) = F_{1218}\! \left(x \right)<br />
  
    F_{1218}\! \left(x \right) = F_{507}\! \left(x \right) F_{635}\! \left(x \right)<br />
  
    F_{1219}\! \left(x \right) = F_{0}\! \left(x \right) F_{1220}\! \left(x \right)<br />
  
    F_{1220}\! \left(x \right) = F_{1176}\! \left(x \right)+F_{1221}\! \left(x \right)<br />
  
    F_{1221}\! \left(x \right) = F_{1112}\! \left(x \right)<br />
  
    F_{1222}\! \left(x \right) = F_{1223}\! \left(x \right)<br />
  
    F_{1223}\! \left(x \right) = F_{1157}\! \left(x \right)+F_{1224}\! \left(x \right)<br />
  
    F_{1224}\! \left(x \right) = F_{1225}\! \left(x \right)<br />
  
    F_{1225}\! \left(x \right) = F_{1226}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1226}\! \left(x \right) = F_{1227}\! \left(x \right)<br />
  
    F_{1227}\! \left(x \right) = F_{124}\! \left(x \right) F_{177}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{1228}\! \left(x \right) = F_{1229}\! \left(x \right)<br />
  
    F_{1229}\! \left(x \right) = F_{1230}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1230}\! \left(x \right) = F_{1231}\! \left(x \right)+F_{1232}\! \left(x \right)<br />
  
    F_{1231}\! \left(x \right) = F_{243}\! \left(x \right) F_{56}\! \left(x \right)<br />
  
    F_{1232}\! \left(x \right) = F_{1233}\! \left(x \right)<br />
  
    F_{1233}\! \left(x \right) = F_{120}\! \left(x \right) F_{458}\! \left(x \right)<br />
  
    F_{1234}\! \left(x \right) = F_{458}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1235}\! \left(x \right) = 2 F_{173}\! \left(x \right)+F_{1236}\! \left(x \right)+F_{1237}\! \left(x \right)<br />
  
    F_{1236}\! \left(x \right) = F_{23}\! \left(x \right) F_{238}\! \left(x \right)<br />
  
    F_{1237}\! \left(x \right) = F_{23}\! \left(x \right) F_{243}\! \left(x \right)<br />
  
    F_{1238}\! \left(x \right) = F_{1239}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1239}\! \left(x \right) = F_{1240}\! \left(x \right)+F_{224}\! \left(x \right)<br />
  
    F_{1240}\! \left(x \right) = F_{1241}\! \left(x \right)<br />
  
    F_{1241}\! \left(x \right) = F_{1242}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1242}\! \left(x \right) = F_{1243}\! \left(x \right)+F_{1262}\! \left(x \right)<br />
  
    F_{1243}\! \left(x \right) = F_{1244}\! \left(x \right)+F_{1245}\! \left(x \right)<br />
  
    F_{1244}\! \left(x \right) = F_{54}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{1245}\! \left(x \right) = F_{1246}\! \left(x \right)<br />
  
    F_{1246}\! \left(x \right) = F_{1247}\! \left(x \right) F_{74}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{1247}\! \left(x \right) = F_{1248}\! \left(x \right)+F_{1257}\! \left(x \right)+F_{1258}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{1248}\! \left(x \right) = F_{1249}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1249}\! \left(x \right) = F_{1250}\! \left(x \right)<br />
  
    F_{1250}\! \left(x \right) = F_{1251}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1251}\! \left(x \right) = F_{1252}\! \left(x \right)+F_{1256}\! \left(x \right)<br />
  
    F_{1252}\! \left(x \right) = F_{1253}\! \left(x \right)+F_{142}\! \left(x \right)<br />
  
    F_{1253}\! \left(x \right) = F_{1254}\! \left(x \right)<br />
  
    F_{1254}\! \left(x \right) = F_{1255}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1255}\! \left(x \right) = F_{35}\! \left(x \right)+F_{688}\! \left(x \right)<br />
  
    F_{1256}\! \left(x \right) = F_{506}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1257}\! \left(x \right) = F_{23}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{1258}\! \left(x \right) = F_{1259}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1259}\! \left(x \right) = F_{1260}\! \left(x \right)<br />
  
    F_{1260}\! \left(x \right) = F_{1261}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1261}\! \left(x \right) = F_{493}\! \left(x \right)+F_{548}\! \left(x \right)<br />
  
    F_{1262}\! \left(x \right) = F_{1263}\! \left(x \right)+F_{925}\! \left(x \right)<br />
  
    F_{1263}\! \left(x \right) = F_{1264}\! \left(x \right)<br />
  
    F_{1264}\! \left(x \right) = F_{142}\! \left(x \right) F_{176}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1265}\! \left(x \right) = F_{1266}\! \left(x \right)+F_{1267}\! \left(x \right)<br />
  
    F_{1266}\! \left(x \right) = F_{224}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{1267}\! \left(x \right) = F_{1259}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{1268}\! \left(x \right) = F_{1269}\! \left(x \right)<br />
  
    F_{1269}\! \left(x \right) = F_{1270}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1270}\! \left(x \right) = F_{1271}\! \left(x \right)+F_{1274}\! \left(x \right)<br />
  
    F_{1271}\! \left(x \right) = F_{1272}\! \left(x \right)+F_{1273}\! \left(x \right)<br />
  
    F_{1272}\! \left(x \right) = F_{152}\! \left(x \right) F_{56}\! \left(x \right)<br />
  
    F_{1273}\! \left(x \right) = F_{166}\! \left(x \right) F_{257}\! \left(x \right)<br />
  
    F_{1274}\! \left(x \right) = F_{1275}\! \left(x \right)<br />
  
    F_{1275}\! \left(x \right) = F_{120}\! \left(x \right) F_{257}\! \left(x \right)<br />
  
    F_{1276}\! \left(x \right) = F_{1277}\! \left(x \right)+F_{1279}\! \left(x \right)+F_{1303}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{1277}\! \left(x \right) = F_{1278}\! \left(x \right)<br />
  
    F_{1278}\! \left(x \right) = F_{138}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1279}\! \left(x \right) = F_{1280}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1280}\! \left(x \right) = F_{1281}\! \left(x \right)<br />
  
    F_{1281}\! \left(x \right) = F_{1282}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1282}\! \left(x \right) = F_{1283}\! \left(x \right)+F_{1301}\! \left(x \right)<br />
  
    F_{1283}\! \left(x \right) = F_{1284}\! \left(x \right)+F_{1299}\! \left(x \right)<br />
  
    F_{1284}\! \left(x \right) = F_{1285}\! \left(x \right)+F_{1286}\! \left(x \right)<br />
  
    F_{1285}\! \left(x \right) = F_{346}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{1286}\! \left(x \right) = F_{1287}\! \left(x \right)<br />
  
    F_{1287}\! \left(x \right) = F_{1288}\! \left(x \right) F_{140}\! \left(x \right)<br />
  
    F_{1288}\! \left(x \right) = F_{1289}\! \left(x \right)<br />
  
    F_{1289}\! \left(x \right) = F_{1290}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1290}\! \left(x \right) = F_{1291}\! \left(x \right)+F_{1295}\! \left(x \right)<br />
  
    F_{1291}\! \left(x \right) = F_{1292}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{1292}\! \left(x \right) = F_{1293}\! \left(x \right)+F_{402}\! \left(x \right)<br />
  
    F_{1293}\! \left(x \right) = F_{1294}\! \left(x \right)<br />
  
    F_{1294}\! \left(x \right) = F_{23}\! \left(x \right) F_{74}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{1295}\! \left(x \right) = -F_{1292}\! \left(x \right)+F_{1296}\! \left(x \right)<br />
  
    F_{1296}\! \left(x \right) = \frac{F_{1297}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1297}\! \left(x \right) = F_{1298}\! \left(x \right)<br />
  
    F_{1298}\! \left(x \right) = -F_{75}\! \left(x \right)+F_{402}\! \left(x \right)<br />
  
    F_{1299}\! \left(x \right) = F_{1300}\! \left(x \right)<br />
  
    F_{1300}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{548}\! \left(x \right)<br />
  
    F_{1301}\! \left(x \right) = F_{1302}\! \left(x \right)<br />
  
    F_{1302}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{471}\! \left(x \right)<br />
  
    F_{1303}\! \left(x \right) = F_{1304}\! \left(x \right)<br />
  
    F_{1304}\! \left(x \right) = F_{23}\! \left(x \right) F_{491}\! \left(x \right)<br />
  
    F_{1305}\! \left(x \right) = F_{1306}\! \left(x \right)<br />
  
    F_{1306}\! \left(x \right) = F_{123}\! \left(x \right) F_{143}\! \left(x \right)<br />
  
    F_{1307}\! \left(x \right) = F_{1308}\! \left(x \right)+F_{1309}\! \left(x \right)<br />
  
    F_{1308}\! \left(x \right) = F_{1276}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{1309}\! \left(x \right) = F_{1310}\! \left(x \right)<br />
  
    F_{1310}\! \left(x \right) = F_{123}\! \left(x \right) F_{138}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1311}\! \left(x \right) = F_{256}\! \left(x \right)<br />
  
    F_{1312}\! \left(x \right) = F_{1313}\! \left(x \right)<br />
  
    F_{1313}\! \left(x \right) = F_{158}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{1314}\! \left(x \right) = -F_{1315}\! \left(x \right)+F_{140}\! \left(x \right)<br />
  
    F_{1315}\! \left(x \right) = F_{142}\! \left(x \right)+F_{264}\! \left(x \right)<br />
  
    F_{1316}\! \left(x \right) = F_{164}\! \left(x \right) F_{260}\! \left(x \right)<br />
  
    F_{1317}\! \left(x \right) = F_{1318}\! \left(x \right)<br />
  
    F_{1318}\! \left(x \right) = -F_{1337}\! \left(x \right)+F_{1319}\! \left(x \right)<br />
  
    F_{1319}\! \left(x \right) = \frac{F_{1320}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1320}\! \left(x \right) = F_{1321}\! \left(x \right)<br />
  
    F_{1321}\! \left(x \right) = -F_{160}\! \left(x \right)+F_{1322}\! \left(x \right)<br />
  
    F_{1322}\! \left(x \right) = F_{1323}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{1323}\! \left(x \right) = F_{1324}\! \left(x \right)<br />
  
    F_{1324}\! \left(x \right) = F_{1325}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1325}\! \left(x \right) = F_{1326}\! \left(x \right)+F_{246}\! \left(x \right)<br />
  
    F_{1326}\! \left(x \right) = F_{1327}\! \left(x \right)<br />
  
    F_{1327}\! \left(x \right) = F_{1328}\! \left(x \right)+F_{1335}\! \left(x \right)<br />
  
    F_{1328}\! \left(x \right) = F_{1329}\! \left(x \right)<br />
  
    F_{1329}\! \left(x \right) = F_{1330}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1330}\! \left(x \right) = F_{1331}\! \left(x \right)<br />
  
    F_{1331}\! \left(x \right) = F_{1332}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1332}\! \left(x \right) = \frac{F_{1333}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1333}\! \left(x \right) = F_{1334}\! \left(x \right)<br />
  
    F_{1334}\! \left(x \right) = F_{1259}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{1335}\! \left(x \right) = F_{1336}\! \left(x \right)<br />
  
    F_{1336}\! \left(x \right) = F_{23}\! \left(x \right) F_{257}\! \left(x \right) F_{998}\! \left(x \right)<br />
  
    F_{1337}\! \left(x \right) = F_{1338}\! \left(x \right)+F_{1344}\! \left(x \right)<br />
  
    F_{1338}\! \left(x \right) = \frac{F_{1339}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1339}\! \left(x \right) = -F_{1340}\! \left(x \right)-F_{4}\! \left(x \right)+F_{441}\! \left(x \right)<br />
  
    F_{1340}\! \left(x \right) = F_{1341}\! \left(x \right)<br />
  
    F_{1341}\! \left(x \right) = F_{1342}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1342}\! \left(x \right) = \frac{F_{1343}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1343}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{1344}\! \left(x \right) = -F_{1347}\! \left(x \right)+F_{1345}\! \left(x \right)<br />
  
    F_{1345}\! \left(x \right) = \frac{F_{1346}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1346}\! \left(x \right) = F_{237}\! \left(x \right)<br />
  
    F_{1347}\! \left(x \right) = F_{1348}\! \left(x \right)<br />
  
    F_{1348}\! \left(x \right) = F_{1314}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1349}\! \left(x \right) = F_{158}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1350}\! \left(x \right) = F_{4}\! \left(x \right)+F_{506}\! \left(x \right)<br />
  
    F_{1351}\! \left(x \right) = F_{1352}\! \left(x \right)+F_{155}\! \left(x \right)<br />
  
    F_{1352}\! \left(x \right) = F_{1353}\! \left(x \right)<br />
  
    F_{1353}\! \left(x \right) = F_{257}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1354}\! \left(x \right) = F_{138}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1355}\! \left(x \right) = F_{1356}\! \left(x \right)<br />
  
    F_{1356}\! \left(x \right) = F_{124}\! \left(x \right) F_{1357}\! \left(x \right)<br />
  
    F_{1357}\! \left(x \right) = F_{11}\! \left(x \right)+F_{1256}\! \left(x \right)<br />
  
    F_{1358}\! \left(x \right) = F_{1359}\! \left(x \right)<br />
  
    F_{1359}\! \left(x \right) = F_{122}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1360}\! \left(x \right) = F_{1361}\! \left(x \right)<br />
  
    F_{1361}\! \left(x \right) = F_{1362}\! \left(x \right) F_{2}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1362}\! \left(x \right) = \frac{F_{1363}\! \left(x \right)}{F_{23}\! \left(x \right) F_{74}\! \left(x \right)}<br />
  
    F_{1363}\! \left(x \right) = F_{91}\! \left(x \right)<br />
  
    F_{1364}\! \left(x \right) = F_{1365}\! \left(x \right)<br />
  
    F_{1365}\! \left(x \right) = F_{1362}\! \left(x \right) F_{2}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1366}\! \left(x \right) = F_{1367}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{1367}\! \left(x \right) = \frac{F_{1368}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1368}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{1369}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{1369}\! \left(x \right) = F_{1362}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1370}\! \left(x \right) = F_{23}\! \left(x \right) F_{758}\! \left(x \right)<br />
  
    F_{1371}\! \left(x \right) = F_{1}\! \left(x \right)+F_{1372}\! \left(x \right)<br />
  
    F_{1372}\! \left(x \right) = F_{1373}\! \left(x \right)<br />
  
    F_{1373}\! \left(x \right) = F_{1371}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1374}\! \left(x \right) = F_{23}\! \left(x \right) F_{604}\! \left(x \right)<br />
  
    F_{1375}\! \left(x \right) = F_{1376}\! \left(x \right)<br />
  
    F_{1376}\! \left(x \right) = F_{23}\! \left(x \right) F_{985}\! \left(x \right)<br />
  
    F_{1377}\! \left(x \right) = F_{1378}\! \left(x \right)+F_{72}\! \left(x \right)<br />
  
    F_{1378}\! \left(x \right) = F_{52}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{1379}\! \left(x \right) = F_{1380}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{1380}\! \left(x \right) = F_{1381}\! \left(x \right)<br />
  
    F_{1381}\! \left(x \right) = F_{1382}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1382}\! \left(x \right) = F_{1383}\! \left(x \right)+F_{1395}\! \left(x \right)<br />
  
    F_{1383}\! \left(x \right) = \frac{F_{1384}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1384}\! \left(x \right) = F_{1385}\! \left(x \right)<br />
  
    F_{1385}\! \left(x \right) = -F_{1388}\! \left(x \right)+F_{1386}\! \left(x \right)<br />
  
    F_{1386}\! \left(x \right) = \frac{F_{1387}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1387}\! \left(x \right) = F_{230}\! \left(x \right)<br />
  
    F_{1388}\! \left(x \right) = -F_{1392}\! \left(x \right)+F_{1389}\! \left(x \right)<br />
  
    F_{1389}\! \left(x \right) = F_{1390}\! \left(x \right)+F_{1391}\! \left(x \right)<br />
  
    F_{1390}\! \left(x \right) = F_{4}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{1391}\! \left(x \right) = F_{0}\! \left(x \right) F_{72}\! \left(x \right)<br />
  
    F_{1392}\! \left(x \right) = F_{1393}\! \left(x \right)+F_{1394}\! \left(x \right)<br />
  
    F_{1393}\! \left(x \right) = F_{2}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{1394}\! \left(x \right) = F_{336}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{1395}\! \left(x \right) = F_{1396}\! \left(x \right)<br />
  
    F_{1396}\! \left(x \right) = F_{1397}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1397}\! \left(x \right) = \frac{F_{1398}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1398}\! \left(x \right) = F_{1399}\! \left(x \right)<br />
  
    F_{1399}\! \left(x \right) = F_{1400}\! \left(x \right)+F_{1402}\! \left(x \right)+F_{234}\! \left(x \right)<br />
  
    F_{1400}\! \left(x \right) = F_{1401}\! \left(x \right)<br />
  
    F_{1401}\! \left(x \right) = F_{1399}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1402}\! \left(x \right) = F_{1403}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1403}\! \left(x \right) = \frac{F_{1404}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1404}\! \left(x \right) = -F_{1439}\! \left(x \right)-F_{1441}\! \left(x \right)-F_{173}\! \left(x \right)+F_{1405}\! \left(x \right)<br />
  
    F_{1405}\! \left(x \right) = F_{1406}\! \left(x \right)+F_{1433}\! \left(x \right)<br />
  
    F_{1406}\! \left(x \right) = F_{1407}\! \left(x \right)+F_{1427}\! \left(x \right)<br />
  
    F_{1407}\! \left(x \right) = F_{1408}\! \left(x \right)+F_{1426}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{1408}\! \left(x \right) = F_{1409}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1409}\! \left(x \right) = F_{1410}\! \left(x \right)+F_{1411}\! \left(x \right)+F_{1416}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{1410}\! \left(x \right) = F_{23}\! \left(x \right) F_{61}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{1411}\! \left(x \right) = F_{1412}\! \left(x \right)<br />
  
    F_{1412}\! \left(x \right) = F_{1413}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1413}\! \left(x \right) = F_{1414}\! \left(x \right)+F_{1415}\! \left(x \right)<br />
  
    F_{1414}\! \left(x \right) = F_{102}\! \left(x \right) F_{81}\! \left(x \right)<br />
  
    F_{1415}\! \left(x \right) = F_{338}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{1416}\! \left(x \right) = F_{1417}\! \left(x \right)<br />
  
    F_{1417}\! \left(x \right) = F_{1418}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1418}\! \left(x \right) = F_{1419}\! \left(x \right)+F_{1420}\! \left(x \right)<br />
  
    F_{1419}\! \left(x \right) = F_{1409}\! \left(x \right) F_{61}\! \left(x \right)<br />
  
    F_{1420}\! \left(x \right) = F_{1421}\! \left(x \right)<br />
  
    F_{1421}\! \left(x \right) = F_{1422}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1422}\! \left(x \right) = F_{1423}\! \left(x \right)+F_{1424}\! \left(x \right)<br />
  
    F_{1423}\! \left(x \right) = F_{1418}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1424}\! \left(x \right) = F_{1425}\! \left(x \right)<br />
  
    F_{1425}\! \left(x \right) = F_{102}\! \left(x \right) F_{1386}\! \left(x \right) F_{164}\! \left(x \right)<br />
  
    F_{1426}\! \left(x \right) = F_{1399}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1427}\! \left(x \right) = F_{1428}\! \left(x \right)<br />
  
    F_{1428}\! \left(x \right) = F_{1429}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1429}\! \left(x \right) = F_{1430}\! \left(x \right)+F_{1431}\! \left(x \right)<br />
  
    F_{1430}\! \left(x \right) = F_{1407}\! \left(x \right) F_{52}\! \left(x \right)<br />
  
    F_{1431}\! \left(x \right) = F_{1432}\! \left(x \right)<br />
  
    F_{1432}\! \left(x \right) = F_{166}\! \left(x \right) F_{234}\! \left(x \right)<br />
  
    F_{1433}\! \left(x \right) = F_{1434}\! \left(x \right)<br />
  
    F_{1434}\! \left(x \right) = F_{1435}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1435}\! \left(x \right) = F_{1436}\! \left(x \right)+F_{1437}\! \left(x \right)<br />
  
    F_{1436}\! \left(x \right) = F_{1405}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1437}\! \left(x \right) = F_{1438}\! \left(x \right)<br />
  
    F_{1438}\! \left(x \right) = F_{102}\! \left(x \right) F_{1386}\! \left(x \right) F_{164}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1439}\! \left(x \right) = F_{1440}\! \left(x \right)<br />
  
    F_{1440}\! \left(x \right) = F_{1418}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1441}\! \left(x \right) = F_{1442}\! \left(x \right)<br />
  
    F_{1442}\! \left(x \right) = F_{1399}\! \left(x \right) F_{23}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1443}\! \left(x \right) = F_{256}\! \left(x \right)<br />
  
    F_{1444}\! \left(x \right) = F_{1445}\! \left(x \right)<br />
  
    F_{1445}\! \left(x \right) = F_{122}\! \left(x \right) F_{511}\! \left(x \right)<br />
  
    F_{1446}\! \left(x \right) = F_{1447}\! \left(x \right)<br />
  
    F_{1447}\! \left(x \right) = F_{511}\! \left(x \right) F_{523}\! \left(x \right)<br />
  
    F_{1448}\! \left(x \right) = F_{1449}\! \left(x \right)<br />
  
    F_{1449}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{509}\! \left(x \right)<br />
  
    F_{1450}\! \left(x \right) = F_{1451}\! \left(x \right)<br />
  
    F_{1451}\! \left(x \right) = F_{1452}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1452}\! \left(x \right) = F_{1453}\! \left(x \right)+F_{1457}\! \left(x \right)<br />
  
    F_{1453}\! \left(x \right) = F_{1454}\! \left(x \right)<br />
  
    F_{1454}\! \left(x \right) = F_{1455}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1455}\! \left(x \right) = \frac{F_{1456}\! \left(x \right)}{F_{23}\! \left(x \right)}<br />
  
    F_{1456}\! \left(x \right) = F_{35}\! \left(x \right)<br />
  
    F_{1457}\! \left(x \right) = F_{1458}\! \left(x \right)<br />
  
    F_{1458}\! \left(x \right) = F_{1459}\! \left(x \right) F_{23}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{1459}\! \left(x \right) = F_{1460}\! \left(x \right)+F_{1463}\! \left(x \right)+F_{1465}\! \left(x \right)+F_{1470}\! \left(x \right)<br />
  
    F_{1460}\! \left(x \right) = F_{12}\! \left(x \right)+F_{1461}\! \left(x \right)<br />
  
    F_{1461}\! \left(x \right) = F_{1462}\! \left(x \right)+F_{173}\! \left(x \right)+F_{427}\! \left(x \right)<br />
  
    F_{1462}\! \left(x \right) = F_{1332}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1463}\! \left(x \right) = F_{1464}\! \left(x \right)<br />
  
    F_{1464}\! \left(x \right) = F_{74} \left(x \right)^{2} F_{142}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1465}\! \left(x \right) = F_{1466}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1466}\! \left(x \right) = F_{1467}\! \left(x \right)+F_{1468}\! \left(x \right)<br />
  
    F_{1467}\! \left(x \right) = F_{1460}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{1468}\! \left(x \right) = F_{1469}\! \left(x \right)<br />
  
    F_{1469}\! \left(x \right) = F_{142}\! \left(x \right) F_{172}\! \left(x \right)<br />
  
    F_{1470}\! \left(x \right) = F_{1471}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{1471}\! \left(x \right) = F_{1472}\! \left(x \right)+F_{1474}\! \left(x \right)<br />
  
    F_{1472}\! \left(x \right) = F_{1473}\! \left(x \right)<br />
  
    F_{1473}\! \left(x \right) = F_{1460}\! \left(x \right) F_{74}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{1474}\! \left(x \right) = F_{1475}\! \left(x \right)<br />
  
    F_{1475}\! \left(x \right) = F_{142}\! \left(x \right) F_{176}\! \left(x \right)<br />
  
    F_{1476}\! \left(x \right) = F_{507}\! \left(x \right) F_{74}\! \left(x \right)<br />
  
    F_{1477}\! \left(x \right) = F_{152}\! \left(x \right) F_{23}\! \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_23(x)*F_4(x))<br />
  
    Eq(F_4(x), F_1(x) + F_1477(x) + F_5(x))<br />
  
    Eq(F_5(x), F_23(x)*F_6(x))<br />
  
    Eq(F_6(x), F_4(x) + F_7(x))<br />
  
    Eq(F_7(x), F_8(x))<br />
  
    Eq(F_8(x), F_23(x)*F_9(x))<br />
  
    Eq(F_9(x), F_10(x) + F_1353(x))<br />
  
    Eq(F_10(x), F_11(x) + F_208(x))<br />
  
    Eq(F_11(x), F_12(x) + F_1253(x))<br />
  
    Eq(F_12(x), F_13(x) + F_25(x))<br />
  
    Eq(F_13(x), F_0(x) + F_14(x))<br />
  
    Eq(F_14(x), F_15(x))<br />
  
    Eq(F_15(x), F_16(x)*F_23(x))<br />
  
    Eq(F_16(x), F_1476(x) + F_17(x))<br />
  
    Eq(F_17(x), F_18(x) - F_24(x))<br />
  
    Eq(F_18(x), F_19(x)/F_23(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), -F_0(x) + F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/F_23(x))<br />
  
    Eq(F_22(x), F_2(x))<br />
  
    Eq(F_23(x), x)<br />
  
    Eq(F_24(x), F_1450(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x) + F_28(x))<br />
  
    Eq(F_26(x), F_27(x))<br />
  
    Eq(F_27(x), F_18(x)*F_23(x))<br />
  
    Eq(F_28(x), F_29(x))<br />
  
    Eq(F_29(x), F_23(x)*F_30(x))<br />
  
    Eq(F_30(x), F_31(x) + F_509(x))<br />
  
    Eq(F_31(x), F_25(x) + F_32(x))<br />
  
    Eq(F_32(x), F_33(x))<br />
  
    Eq(F_33(x), F_23(x)*F_34(x))<br />
  
    Eq(F_34(x), F_1448(x) + F_35(x))<br />
  
    Eq(F_35(x), F_36(x) + F_38(x))<br />
  
    Eq(F_36(x), F_18(x)*F_37(x))<br />
  
    Eq(F_37(x), x*(F_37(x) + 1)**4 + (-x - 1)*(F_37(x) + 1)**3 + (2*x - 3)*(F_37(x) + 1) + (F_37(x) + 1)**2*(x**2 - 2*x + 3) + F_37(x) + 1)<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_23(x)*F_40(x))<br />
  
    Eq(F_40(x), F_1446(x) + F_41(x))<br />
  
    Eq(F_41(x), F_1444(x) + F_42(x))<br />
  
    Eq(F_42(x), F_18(x)*F_43(x))<br />
  
    Eq(F_43(x), F_426(x) + F_44(x))<br />
  
    Eq(F_44(x), F_26(x) + F_45(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_23(x)*F_47(x))<br />
  
    Eq(F_47(x), F_48(x))<br />
  
    Eq(F_48(x), F_23(x)*F_49(x))<br />
  
    Eq(F_49(x), F_1443(x) + F_50(x))<br />
  
    Eq(F_50(x), F_341(x) + F_51(x))<br />
  
    Eq(F_51(x), F_18(x)*F_52(x))<br />
  
    Eq(F_52(x), -F_53(x) + F_6(x))<br />
  
    Eq(F_53(x), F_54(x) + F_62(x))<br />
  
    Eq(F_54(x), F_55(x))<br />
  
    Eq(F_55(x), F_23(x)*F_56(x))<br />
  
    Eq(F_56(x), F_57(x)/F_23(x))<br />
  
    Eq(F_57(x), F_58(x))<br />
  
    Eq(F_58(x), F_59(x) - F_61(x))<br />
  
    Eq(F_59(x), F_60(x)/F_23(x))<br />
  
    Eq(F_60(x), F_2(x))<br />
  
    Eq(F_61(x), x*F_61(x)**4 + (-x - 1)*F_61(x)**3 + (2*x - 2)*F_61(x) + (x**2 - 2*x + 3)*F_61(x)**2 + 1)<br />
  
    Eq(F_62(x), F_63(x))<br />
  
    Eq(F_63(x), F_23(x)*F_64(x))<br />
  
    Eq(F_64(x), F_1103(x) + F_65(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), F_67(x) + F_82(x))<br />
  
    Eq(F_67(x), F_68(x))<br />
  
    Eq(F_68(x), F_0(x)*F_69(x))<br />
  
    Eq(F_69(x), F_70(x) + F_71(x))<br />
  
    Eq(F_70(x), F_37(x)*F_61(x))<br />
  
    Eq(F_71(x), F_23(x)*F_72(x))<br />
  
    Eq(F_72(x), F_73(x))<br />
  
    Eq(F_73(x), F_23(x)*F_61(x)*F_74(x)*F_81(x))<br />
  
    Eq(F_74(x), F_1(x) + F_75(x))<br />
  
    Eq(F_75(x), F_76(x))<br />
  
    Eq(F_76(x), F_23(x)*F_77(x))<br />
  
    Eq(F_77(x), F_1(x) + F_78(x) + F_80(x))<br />
  
    Eq(F_78(x), F_79(x))<br />
  
    Eq(F_79(x), F_23(x)*F_74(x)*F_77(x))<br />
  
    Eq(F_80(x), F_23(x)*F_77(x))<br />
  
    Eq(F_81(x), F_61(x) + F_72(x))<br />
  
    Eq(F_82(x), F_83(x))<br />
  
    Eq(F_83(x), F_23(x)*F_84(x))<br />
  
    Eq(F_84(x), F_1379(x) + F_85(x))<br />
  
    Eq(F_85(x), F_86(x))<br />
  
    Eq(F_86(x), F_1377(x)*F_87(x))<br />
  
    Eq(F_87(x), F_88(x))<br />
  
    Eq(F_88(x), F_23(x)*F_89(x))<br />
  
    Eq(F_89(x), F_1374(x) + F_1375(x) + F_90(x))<br />
  
    Eq(F_90(x), F_74(x) + F_91(x))<br />
  
    Eq(F_91(x), F_92(x))<br />
  
    Eq(F_92(x), F_1371(x)*F_23(x)*F_93(x))<br />
  
    Eq(F_93(x), -F_708(x) + F_94(x))<br />
  
    Eq(F_94(x), F_95(x)/F_23(x))<br />
  
    Eq(F_95(x), -F_1(x) - F_1370(x) - F_710(x) + F_96(x))<br />
  
    Eq(F_96(x), F_4(x) + F_97(x))<br />
  
    Eq(F_97(x), -F_104(x) + F_98(x))<br />
  
    Eq(F_98(x), F_99(x)/F_23(x))<br />
  
    Eq(F_99(x), F_100(x))<br />
  
    Eq(F_100(x), F_101(x) - F_2(x))<br />
  
    Eq(F_101(x), -F_0(x) + F_102(x))<br />
  
    Eq(F_102(x), F_103(x)/F_23(x))<br />
  
    Eq(F_103(x), F_2(x))<br />
  
    Eq(F_104(x), F_105(x) + F_106(x))<br />
  
    Eq(F_105(x), F_2(x)*F_4(x))<br />
  
    Eq(F_106(x), F_107(x))<br />
  
    Eq(F_107(x), F_108(x)*F_23(x))<br />
  
    Eq(F_108(x), F_109(x) + F_112(x))<br />
  
    Eq(F_109(x), F_110(x)*F_2(x))<br />
  
    Eq(F_110(x), F_111(x)/F_23(x))<br />
  
    Eq(F_111(x), F_97(x))<br />
  
    Eq(F_112(x), F_0(x)*F_113(x))<br />
  
    Eq(F_113(x), F_114(x) - F_1366(x))<br />
  
    Eq(F_114(x), F_115(x)/F_23(x))<br />
  
    Eq(F_115(x), F_116(x))<br />
  
    Eq(F_116(x), F_117(x) - F_1364(x) - F_2(x))<br />
  
    Eq(F_117(x), F_118(x) + F_1360(x))<br />
  
    Eq(F_118(x), F_119(x))<br />
  
    Eq(F_119(x), F_120(x)*F_23(x))<br />
  
    Eq(F_120(x), F_121(x)/(F_23(x)*F_74(x)))<br />
  
    Eq(F_121(x), F_122(x))<br />
  
    Eq(F_122(x), F_123(x) + F_1358(x))<br />
  
    Eq(F_123(x), F_124(x) + F_816(x))<br />
  
    Eq(F_124(x), F_125(x)/F_4(x))<br />
  
    Eq(F_125(x), F_126(x) - F_130(x))<br />
  
    Eq(F_126(x), F_127(x)/F_23(x))<br />
  
    Eq(F_127(x), F_128(x))<br />
  
    Eq(F_128(x), -F_0(x) + F_12(x) - F_129(x))<br />
  
    Eq(F_129(x), F_26(x))<br />
  
    Eq(F_130(x), F_131(x) + F_132(x))<br />
  
    Eq(F_131(x), F_0(x)*F_4(x))<br />
  
    Eq(F_132(x), F_133(x))<br />
  
    Eq(F_133(x), F_134(x)*F_23(x))<br />
  
    Eq(F_134(x), F_135(x) + F_1355(x))<br />
  
    Eq(F_135(x), F_0(x)*F_136(x))<br />
  
    Eq(F_136(x), F_137(x) + F_138(x))<br />
  
    Eq(F_137(x), F_18(x) + F_47(x))<br />
  
    Eq(F_138(x), F_139(x))<br />
  
    Eq(F_139(x), F_140(x)*F_23(x))<br />
  
    Eq(F_140(x), F_1354(x) + F_141(x))<br />
  
    Eq(F_141(x), F_142(x) + F_143(x))<br />
  
    Eq(F_142(x), F_12(x) + F_138(x))<br />
  
    Eq(F_143(x), F_144(x))<br />
  
    Eq(F_144(x), F_145(x)*F_23(x))<br />
  
    Eq(F_145(x), F_146(x)/F_23(x))<br />
  
    Eq(F_146(x), F_147(x))<br />
  
    Eq(F_147(x), -F_1351(x) + F_148(x))<br />
  
    Eq(F_148(x), F_149(x)/F_23(x))<br />
  
    Eq(F_149(x), F_150(x))<br />
  
    Eq(F_150(x), -F_1350(x) + F_151(x))<br />
  
    Eq(F_151(x), F_152(x) + F_257(x))<br />
  
    Eq(F_152(x), F_153(x) + F_4(x))<br />
  
    Eq(F_153(x), F_154(x))<br />
  
    Eq(F_154(x), F_155(x)*F_23(x))<br />
  
    Eq(F_155(x), F_10(x) + F_156(x))<br />
  
    Eq(F_156(x), F_157(x))<br />
  
    Eq(F_157(x), F_158(x)*F_23(x))<br />
  
    Eq(F_158(x), F_1317(x) + F_1349(x) + F_159(x) + F_193(x))<br />
  
    Eq(F_159(x), F_160(x)*F_163(x))<br />
  
    Eq(F_160(x), F_161(x) + F_4(x))<br />
  
    Eq(F_161(x), F_162(x))<br />
  
    Eq(F_162(x), F_10(x)*F_23(x))<br />
  
    Eq(F_163(x), F_164(x) + F_74(x))<br />
  
    Eq(F_164(x), F_165(x))<br />
  
    Eq(F_165(x), F_166(x)*F_23(x))<br />
  
    Eq(F_166(x), F_167(x) + F_74(x))<br />
  
    Eq(F_167(x), F_168(x))<br />
  
    Eq(F_168(x), F_169(x))<br />
  
    Eq(F_169(x), F_170(x)*F_23(x))<br />
  
    Eq(F_170(x), F_171(x)/F_23(x))<br />
  
    Eq(F_171(x), F_172(x))<br />
  
    Eq(F_172(x), F_173(x) + F_174(x) + F_175(x) + F_192(x))<br />
  
    Eq(F_173(x), 0)<br />
  
    Eq(F_174(x), F_23(x)*F_77(x))<br />
  
    Eq(F_175(x), F_176(x)*F_23(x))<br />
  
    Eq(F_176(x), F_177(x) - F_190(x))<br />
  
    Eq(F_177(x), F_178(x) + F_184(x))<br />
  
    Eq(F_178(x), F_1(x) + F_179(x) + F_181(x) + F_183(x))<br />
  
    Eq(F_179(x), F_180(x))<br />
  
    Eq(F_180(x), F_23(x)*F_74(x)**2)<br />
  
    Eq(F_181(x), F_182(x)*F_23(x))<br />
  
    Eq(F_182(x), F_172(x) + F_77(x))<br />
  
    Eq(F_183(x), F_177(x)*F_23(x))<br />
  
    Eq(F_184(x), F_185(x))<br />
  
    Eq(F_185(x), F_186(x)*F_23(x))<br />
  
    Eq(F_186(x), F_187(x) + F_188(x))<br />
  
    Eq(F_187(x), F_178(x)*F_77(x))<br />
  
    Eq(F_188(x), F_189(x))<br />
  
    Eq(F_189(x), F_172(x)*F_74(x)**2)<br />
  
    Eq(F_190(x), F_191(x))<br />
  
    Eq(F_191(x), F_74(x)*F_77(x))<br />
  
    Eq(F_192(x), F_172(x)*F_23(x))<br />
  
    Eq(F_193(x), F_194(x))<br />
  
    Eq(F_194(x), F_195(x)*F_23(x))<br />
  
    Eq(F_195(x), F_1316(x) + F_196(x))<br />
  
    Eq(F_196(x), F_197(x)*F_74(x))<br />
  
    Eq(F_197(x), F_198(x) + F_259(x))<br />
  
    Eq(F_198(x), F_1314(x) + F_199(x))<br />
  
    Eq(F_199(x), F_138(x) + F_200(x))<br />
  
    Eq(F_200(x), F_11(x) + F_201(x))<br />
  
    Eq(F_201(x), F_202(x))<br />
  
    Eq(F_202(x), F_203(x)*F_23(x))<br />
  
    Eq(F_203(x), F_204(x) - F_256(x))<br />
  
    Eq(F_204(x), -F_1312(x) + F_205(x))<br />
  
    Eq(F_205(x), F_1311(x) + F_206(x))<br />
  
    Eq(F_206(x), F_207(x)/F_23(x))<br />
  
    Eq(F_207(x), F_208(x))<br />
  
    Eq(F_208(x), F_209(x) + F_211(x))<br />
  
    Eq(F_209(x), F_210(x)*F_4(x))<br />
  
    Eq(F_210(x), F_52(x) - F_61(x))<br />
  
    Eq(F_211(x), F_212(x))<br />
  
    Eq(F_212(x), F_213(x)*F_23(x))<br />
  
    Eq(F_213(x), F_1307(x) + F_214(x))<br />
  
    Eq(F_214(x), F_1305(x) + F_215(x))<br />
  
    Eq(F_215(x), F_216(x)*F_4(x))<br />
  
    Eq(F_216(x), -F_1276(x) + F_217(x))<br />
  
    Eq(F_217(x), F_218(x)/F_23(x))<br />
  
    Eq(F_218(x), F_219(x))<br />
  
    Eq(F_219(x), F_220(x)*F_23(x))<br />
  
    Eq(F_220(x), F_1268(x) + F_221(x))<br />
  
    Eq(F_221(x), F_1265(x) + F_222(x))<br />
  
    Eq(F_222(x), F_223(x)/F_23(x))<br />
  
    Eq(F_223(x), -F_1238(x) - F_173(x) + F_224(x) - F_226(x))<br />
  
    Eq(F_224(x), F_225(x)/F_23(x))<br />
  
    Eq(F_225(x), -F_173(x) - F_5(x) + F_54(x))<br />
  
    Eq(F_226(x), F_227(x)*F_23(x))<br />
  
    Eq(F_227(x), F_228(x) + F_6(x))<br />
  
    Eq(F_228(x), F_229(x) + F_236(x))<br />
  
    Eq(F_229(x), F_230(x) + F_62(x))<br />
  
    Eq(F_230(x), F_173(x) + F_231(x) + F_235(x))<br />
  
    Eq(F_231(x), -F_1(x) - F_232(x) + F_52(x))<br />
  
    Eq(F_232(x), F_23(x)*F_233(x))<br />
  
    Eq(F_233(x), F_234(x) + F_52(x))<br />
  
    Eq(F_234(x), F_230(x))<br />
  
    Eq(F_235(x), F_23(x)*F_234(x))<br />
  
    Eq(F_236(x), F_237(x))<br />
  
    Eq(F_237(x), -F_1235(x) + F_238(x))<br />
  
    Eq(F_238(x), F_239(x))<br />
  
    Eq(F_239(x), F_23(x)*F_240(x))<br />
  
    Eq(F_240(x), F_1234(x) + F_241(x))<br />
  
    Eq(F_241(x), F_1228(x) + F_242(x))<br />
  
    Eq(F_242(x), F_243(x)*F_61(x))<br />
  
    Eq(F_243(x), F_152(x) + F_244(x))<br />
  
    Eq(F_244(x), F_245(x))<br />
  
    Eq(F_245(x), F_23(x)*F_246(x))<br />
  
    Eq(F_246(x), F_247(x) - F_255(x))<br />
  
    Eq(F_247(x), F_248(x)/F_23(x))<br />
  
    Eq(F_248(x), F_249(x))<br />
  
    Eq(F_249(x), F_250(x)/F_23(x))<br />
  
    Eq(F_250(x), -F_173(x) - F_251(x) - F_254(x) + F_7(x))<br />
  
    Eq(F_251(x), F_23(x)*F_252(x))<br />
  
    Eq(F_252(x), F_253(x) - F_6(x))<br />
  
    Eq(F_253(x), F_238(x) + F_6(x))<br />
  
    Eq(F_254(x), F_151(x)*F_23(x))<br />
  
    Eq(F_255(x), F_256(x))<br />
  
    Eq(F_256(x), F_257(x)*F_74(x)**2)<br />
  
    Eq(F_257(x), F_258(x))<br />
  
    Eq(F_258(x), F_259(x)/F_74(x))<br />
  
    Eq(F_259(x), -F_200(x) + F_260(x))<br />
  
    Eq(F_260(x), F_261(x)/F_23(x))<br />
  
    Eq(F_261(x), F_262(x))<br />
  
    Eq(F_262(x), -F_160(x) + F_263(x))<br />
  
    Eq(F_263(x), F_12(x) + F_264(x))<br />
  
    Eq(F_264(x), F_25(x) + F_265(x))<br />
  
    Eq(F_265(x), F_266(x))<br />
  
    Eq(F_266(x), F_23(x)*F_267(x))<br />
  
    Eq(F_267(x), F_1144(x) + F_268(x))<br />
  
    Eq(F_268(x), F_269(x)*F_37(x))<br />
  
    Eq(F_269(x), F_270(x) + F_271(x))<br />
  
    Eq(F_270(x), F_0(x)*F_90(x))<br />
  
    Eq(F_271(x), F_272(x) + F_278(x))<br />
  
    Eq(F_272(x), F_273(x)/F_23(x))<br />
  
    Eq(F_273(x), -F_173(x) - F_274(x) + F_54(x))<br />
  
    Eq(F_274(x), F_23(x)*F_275(x))<br />
  
    Eq(F_275(x), F_276(x)/F_23(x))<br />
  
    Eq(F_276(x), -F_1(x) + F_102(x) - F_277(x))<br />
  
    Eq(F_277(x), F_23(x)*F_96(x))<br />
  
    Eq(F_278(x), F_279(x))<br />
  
    Eq(F_279(x), F_23(x)*F_280(x))<br />
  
    Eq(F_280(x), F_281(x) + F_304(x))<br />
  
    Eq(F_281(x), F_271(x) + F_282(x))<br />
  
    Eq(F_282(x), F_283(x))<br />
  
    Eq(F_283(x), F_23(x)*F_284(x))<br />
  
    Eq(F_284(x), F_285(x))<br />
  
    Eq(F_285(x), F_23(x)*F_286(x))<br />
  
    Eq(F_286(x), F_1142(x) + F_287(x))<br />
  
    Eq(F_287(x), F_288(x) + F_291(x))<br />
  
    Eq(F_288(x), F_18(x)*F_289(x))<br />
  
    Eq(F_289(x), F_290(x)/F_23(x))<br />
  
    Eq(F_290(x), F_272(x))<br />
  
    Eq(F_291(x), F_292(x))<br />
  
    Eq(F_292(x), F_122(x)*F_293(x))<br />
  
    Eq(F_293(x), F_294(x)/F_23(x))<br />
  
    Eq(F_294(x), F_295(x))<br />
  
    Eq(F_295(x), F_296(x) + F_297(x))<br />
  
    Eq(F_296(x), F_91(x))<br />
  
    Eq(F_297(x), F_1140(x) + F_173(x) + F_298(x) + F_305(x) + F_306(x))<br />
  
    Eq(F_298(x), F_23(x)*F_299(x))<br />
  
    Eq(F_299(x), F_300(x))<br />
  
    Eq(F_300(x), F_23(x)*F_301(x))<br />
  
    Eq(F_301(x), F_302(x) + F_304(x))<br />
  
    Eq(F_302(x), F_281(x) + F_303(x))<br />
  
    Eq(F_303(x), F_4(x)*F_90(x))<br />
  
    Eq(F_304(x), F_295(x)*F_74(x))<br />
  
    Eq(F_305(x), F_23(x)*F_272(x))<br />
  
    Eq(F_306(x), F_23(x)*F_307(x))<br />
  
    Eq(F_307(x), F_308(x))<br />
  
    Eq(F_308(x), F_23(x)*F_309(x))<br />
  
    Eq(F_309(x), F_1125(x) + F_310(x))<br />
  
    Eq(F_310(x), F_311(x)/F_23(x))<br />
  
    Eq(F_311(x), -F_1108(x) - F_1110(x) - F_257(x) + F_312(x))<br />
  
    Eq(F_312(x), F_313(x) - F_322(x))<br />
  
    Eq(F_313(x), F_314(x)/F_23(x))<br />
  
    Eq(F_314(x), F_315(x))<br />
  
    Eq(F_315(x), F_316(x)/F_23(x))<br />
  
    Eq(F_316(x), -F_173(x) - F_317(x) - F_318(x) + F_53(x))<br />
  
    Eq(F_317(x), F_23(x)*F_253(x))<br />
  
    Eq(F_318(x), F_23(x)*F_319(x))<br />
  
    Eq(F_319(x), F_320(x) - F_321(x))<br />
  
    Eq(F_320(x), F_152(x) + F_249(x))<br />
  
    Eq(F_321(x), F_231(x)/F_23(x))<br />
  
    Eq(F_322(x), F_323(x) + F_325(x))<br />
  
    Eq(F_323(x), F_324(x)/F_23(x))<br />
  
    Eq(F_324(x), F_224(x))<br />
  
    Eq(F_325(x), F_326(x))<br />
  
    Eq(F_326(x), F_327(x)/F_23(x))<br />
  
    Eq(F_327(x), F_328(x))<br />
  
    Eq(F_328(x), F_329(x) - F_572(x))<br />
  
    Eq(F_329(x), F_330(x) - F_550(x))<br />
  
    Eq(F_330(x), F_331(x)/F_23(x))<br />
  
    Eq(F_331(x), F_332(x))<br />
  
    Eq(F_332(x), F_23(x)*F_333(x))<br />
  
    Eq(F_333(x), F_334(x) + F_544(x))<br />
  
    Eq(F_334(x), F_335(x) + F_339(x))<br />
  
    Eq(F_335(x), F_336(x)*F_52(x))<br />
  
    Eq(F_336(x), F_173(x) + F_273(x) + F_337(x))<br />
  
    Eq(F_337(x), F_23(x)*F_338(x))<br />
  
    Eq(F_338(x), -F_102(x) + F_275(x))<br />
  
    Eq(F_339(x), F_340(x))<br />
  
    Eq(F_340(x), F_23(x)*F_341(x))<br />
  
    Eq(F_341(x), F_342(x))<br />
  
    Eq(F_342(x), F_23(x)*F_343(x))<br />
  
    Eq(F_343(x), F_344(x) + F_521(x))<br />
  
    Eq(F_344(x), F_345(x) + F_519(x))<br />
  
    Eq(F_345(x), F_18(x)*F_346(x))<br />
  
    Eq(F_346(x), F_347(x) + F_477(x))<br />
  
    Eq(F_347(x), F_348(x) + F_352(x))<br />
  
    Eq(F_348(x), F_349(x) + F_351(x) + F_4(x))<br />
  
    Eq(F_349(x), F_350(x))<br />
  
    Eq(F_350(x), F_136(x)*F_23(x))<br />
  
    Eq(F_351(x), F_23(x)*F_346(x))<br />
  
    Eq(F_352(x), F_353(x) + F_421(x))<br />
  
    Eq(F_353(x), F_354(x) + F_416(x))<br />
  
    Eq(F_354(x), F_355(x))<br />
  
    Eq(F_355(x), F_23(x)*F_356(x))<br />
  
    Eq(F_356(x), F_357(x) + F_358(x))<br />
  
    Eq(F_357(x), F_21(x)*F_90(x))<br />
  
    Eq(F_358(x), F_13(x)*F_359(x))<br />
  
    Eq(F_359(x), F_360(x)/F_23(x))<br />
  
    Eq(F_360(x), -F_173(x) + F_361(x) - F_414(x))<br />
  
    Eq(F_361(x), F_362(x) - F_61(x))<br />
  
    Eq(F_362(x), F_0(x) + F_363(x))<br />
  
    Eq(F_363(x), F_364(x))<br />
  
    Eq(F_364(x), F_23(x)*F_365(x))<br />
  
    Eq(F_365(x), F_366(x) + F_397(x))<br />
  
    Eq(F_366(x), F_367(x) + F_368(x))<br />
  
    Eq(F_367(x), F_0(x)*F_61(x))<br />
  
    Eq(F_368(x), F_363(x) + F_369(x))<br />
  
    Eq(F_369(x), F_370(x))<br />
  
    Eq(F_370(x), F_23(x)*F_371(x))<br />
  
    Eq(F_371(x), F_372(x) + F_373(x))<br />
  
    Eq(F_372(x), F_363(x)*F_90(x))<br />
  
    Eq(F_373(x), F_374(x))<br />
  
    Eq(F_374(x), F_23(x)*F_375(x)*F_61(x)*F_77(x))<br />
  
    Eq(F_375(x), F_376(x) + F_395(x))<br />
  
    Eq(F_376(x), F_377(x) + F_81(x))<br />
  
    Eq(F_377(x), F_378(x) - F_385(x))<br />
  
    Eq(F_378(x), F_379(x)/F_23(x))<br />
  
    Eq(F_379(x), F_380(x))<br />
  
    Eq(F_380(x), F_173(x) + F_360(x) + F_381(x))<br />
  
    Eq(F_381(x), F_23(x)*F_382(x))<br />
  
    Eq(F_382(x), F_383(x))<br />
  
    Eq(F_383(x), F_102(x)*F_23(x)*F_384(x))<br />
  
    Eq(F_384(x), F_359(x) + F_90(x))<br />
  
    Eq(F_385(x), F_386(x))<br />
  
    Eq(F_386(x), F_0(x)*F_387(x))<br />
  
    Eq(F_387(x), F_165(x) + F_173(x) + F_388(x))<br />
  
    Eq(F_388(x), F_389(x))<br />
  
    Eq(F_389(x), F_23(x)*F_390(x)*F_74(x))<br />
  
    Eq(F_390(x), F_391(x))<br />
  
    Eq(F_391(x), F_23(x)*F_392(x))<br />
  
    Eq(F_392(x), F_393(x))<br />
  
    Eq(F_393(x), F_394(x)/F_23(x))<br />
  
    Eq(F_394(x), -F_1(x) - F_76(x) + F_77(x))<br />
  
    Eq(F_395(x), F_396(x))<br />
  
    Eq(F_396(x), F_0(x)*F_166(x)*F_23(x))<br />
  
    Eq(F_397(x), F_398(x))<br />
  
    Eq(F_398(x), F_0(x)*F_399(x))<br />
  
    Eq(F_399(x), F_400(x))<br />
  
    Eq(F_400(x), F_23(x)*F_401(x)*F_74(x))<br />
  
    Eq(F_401(x), F_402(x) + F_61(x))<br />
  
    Eq(F_402(x), F_403(x)/(F_0(x)*F_74(x)))<br />
  
    Eq(F_403(x), F_404(x))<br />
  
    Eq(F_404(x), F_405(x) - F_413(x))<br />
  
    Eq(F_405(x), F_406(x) + F_409(x))<br />
  
    Eq(F_406(x), F_407(x))<br />
  
    Eq(F_407(x), F_408(x)/F_23(x))<br />
  
    Eq(F_408(x), F_361(x))<br />
  
    Eq(F_409(x), F_410(x) + F_411(x))<br />
  
    Eq(F_410(x), F_61(x)*F_97(x))<br />
  
    Eq(F_411(x), F_412(x))<br />
  
    Eq(F_412(x), F_0(x)*F_402(x)*F_75(x))<br />
  
    Eq(F_413(x), F_61(x)*F_96(x))<br />
  
    Eq(F_414(x), F_23(x)*F_415(x))<br />
  
    Eq(F_415(x), F_102(x) + F_382(x))<br />
  
    Eq(F_416(x), F_417(x))<br />
  
    Eq(F_417(x), F_23(x)*F_418(x))<br />
  
    Eq(F_418(x), F_419(x) + F_420(x))<br />
  
    Eq(F_419(x), F_44(x)*F_90(x))<br />
  
    Eq(F_420(x), F_25(x)*F_359(x))<br />
  
    Eq(F_421(x), F_422(x))<br />
  
    Eq(F_422(x), F_23(x)*F_423(x))<br />
  
    Eq(F_423(x), F_424(x) + F_431(x))<br />
  
    Eq(F_424(x), F_425(x) + F_429(x))<br />
  
    Eq(F_425(x), F_426(x)*F_90(x))<br />
  
    Eq(F_426(x), F_173(x) + F_351(x) + F_427(x))<br />
  
    Eq(F_427(x), F_428(x))<br />
  
    Eq(F_428(x), F_138(x)*F_23(x))<br />
  
    Eq(F_429(x), F_430(x))<br />
  
    Eq(F_430(x), F_138(x)*F_359(x))<br />
  
    Eq(F_431(x), F_432(x))<br />
  
    Eq(F_432(x), F_433(x)*F_74(x))<br />
  
    Eq(F_433(x), F_434(x) + F_496(x))<br />
  
    Eq(F_434(x), F_435(x)/F_23(x))<br />
  
    Eq(F_435(x), F_436(x))<br />
  
    Eq(F_436(x), F_437(x) - F_54(x))<br />
  
    Eq(F_437(x), F_438(x) - F_440(x))<br />
  
    Eq(F_438(x), F_439(x)/F_23(x))<br />
  
    Eq(F_439(x), F_336(x))<br />
  
    Eq(F_440(x), F_441(x) - F_443(x))<br />
  
    Eq(F_441(x), F_442(x)/F_23(x))<br />
  
    Eq(F_442(x), F_26(x))<br />
  
    Eq(F_443(x), F_4(x) + F_444(x))<br />
  
    Eq(F_444(x), -F_320(x) + F_445(x))<br />
  
    Eq(F_445(x), F_446(x) + F_448(x))<br />
  
    Eq(F_446(x), F_447(x)/F_23(x))<br />
  
    Eq(F_447(x), F_230(x))<br />
  
    Eq(F_448(x), F_449(x) - F_451(x))<br />
  
    Eq(F_449(x), F_450(x)/F_23(x))<br />
  
    Eq(F_450(x), F_62(x))<br />
  
    Eq(F_451(x), F_452(x))<br />
  
    Eq(F_452(x), F_23(x)*F_453(x))<br />
  
    Eq(F_453(x), F_454(x) + F_456(x))<br />
  
    Eq(F_454(x), F_455(x)*F_59(x))<br />
  
    Eq(F_455(x), F_243(x) + F_444(x))<br />
  
    Eq(F_456(x), F_457(x)*F_495(x))<br />
  
    Eq(F_457(x), F_458(x) + F_467(x))<br />
  
    Eq(F_458(x), F_459(x))<br />
  
    Eq(F_459(x), F_460(x)/F_23(x))<br />
  
    Eq(F_460(x), -F_173(x) + F_257(x) - F_461(x) - F_464(x) - F_465(x))<br />
  
    Eq(F_461(x), F_23(x)*F_462(x))<br />
  
    Eq(F_462(x), F_463(x))<br />
  
    Eq(F_463(x), F_23(x)*F_260(x))<br />
  
    Eq(F_464(x), F_160(x)*F_23(x))<br />
  
    Eq(F_465(x), F_466(x))<br />
  
    Eq(F_466(x), F_23(x)*F_257(x))<br />
  
    Eq(F_467(x), F_468(x))<br />
  
    Eq(F_468(x), F_23(x)*F_469(x))<br />
  
    Eq(F_469(x), F_470(x))<br />
  
    Eq(F_470(x), F_471(x) - F_485(x))<br />
  
    Eq(F_471(x), F_472(x)/F_23(x))<br />
  
    Eq(F_472(x), F_473(x))<br />
  
    Eq(F_473(x), F_23(x)*F_474(x))<br />
  
    Eq(F_474(x), F_475(x)/(F_23(x)*F_74(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_352(x) + F_478(x))<br />
  
    Eq(F_478(x), F_479(x)/F_23(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_224(x) - F_54(x))<br />
  
    Eq(F_481(x), F_482(x) + F_483(x))<br />
  
    Eq(F_482(x), -F_354(x) + F_43(x))<br />
  
    Eq(F_483(x), F_216(x) - F_484(x))<br />
  
    Eq(F_484(x), F_416(x) + F_44(x))<br />
  
    Eq(F_485(x), F_486(x) - F_494(x))<br />
  
    Eq(F_486(x), F_487(x))<br />
  
    Eq(F_487(x), F_488(x) - F_490(x))<br />
  
    Eq(F_488(x), F_489(x)/F_23(x))<br />
  
    Eq(F_489(x), F_315(x))<br />
  
    Eq(F_490(x), F_491(x) - F_493(x))<br />
  
    Eq(F_491(x), F_492(x)/F_23(x))<br />
  
    Eq(F_492(x), F_222(x))<br />
  
    Eq(F_493(x), F_471(x))<br />
  
    Eq(F_494(x), F_258(x))<br />
  
    Eq(F_495(x), F_118(x) + F_74(x))<br />
  
    Eq(F_496(x), F_497(x))<br />
  
    Eq(F_497(x), F_23(x)*F_498(x))<br />
  
    Eq(F_498(x), F_499(x))<br />
  
    Eq(F_499(x), F_23(x)*F_500(x))<br />
  
    Eq(F_500(x), F_501(x)/F_23(x))<br />
  
    Eq(F_501(x), F_502(x))<br />
  
    Eq(F_502(x), F_503(x)/F_23(x))<br />
  
    Eq(F_503(x), F_504(x))<br />
  
    Eq(F_504(x), -F_173(x) + F_505(x) - F_512(x) - F_518(x))<br />
  
    Eq(F_505(x), F_467(x) + F_506(x))<br />
  
    Eq(F_506(x), F_507(x) + F_509(x))<br />
  
    Eq(F_507(x), F_508(x))<br />
  
    Eq(F_508(x), F_13(x)*F_23(x))<br />
  
    Eq(F_509(x), F_510(x))<br />
  
    Eq(F_510(x), F_23(x)*F_511(x))<br />
  
    Eq(F_511(x), F_138(x) + F_25(x))<br />
  
    Eq(F_512(x), F_23(x)*F_513(x))<br />
  
    Eq(F_513(x), F_514(x))<br />
  
    Eq(F_514(x), F_23(x)*F_515(x))<br />
  
    Eq(F_515(x), F_516(x)/F_23(x))<br />
  
    Eq(F_516(x), F_517(x))<br />
  
    Eq(F_517(x), F_142(x) - F_443(x))<br />
  
    Eq(F_518(x), F_23(x)*F_443(x))<br />
  
    Eq(F_519(x), F_520(x))<br />
  
    Eq(F_520(x), F_122(x)*F_140(x))<br />
  
    Eq(F_521(x), F_522(x))<br />
  
    Eq(F_522(x), F_140(x)*F_523(x))<br />
  
    Eq(F_523(x), F_524(x) - F_543(x))<br />
  
    Eq(F_524(x), F_525(x)/F_23(x))<br />
  
    Eq(F_525(x), F_526(x) - F_540(x) - F_541(x))<br />
  
    Eq(F_526(x), F_527(x)/F_23(x))<br />
  
    Eq(F_527(x), F_528(x))<br />
  
    Eq(F_528(x), F_2(x) + F_529(x))<br />
  
    Eq(F_529(x), F_173(x) + F_530(x) + F_538(x))<br />
  
    Eq(F_530(x), F_23(x)*F_531(x))<br />
  
    Eq(F_531(x), F_532(x))<br />
  
    Eq(F_532(x), F_23(x)*F_533(x))<br />
  
    Eq(F_533(x), F_534(x) + F_536(x))<br />
  
    Eq(F_534(x), F_535(x)*F_74(x))<br />
  
    Eq(F_535(x), F_4(x) + F_531(x))<br />
  
    Eq(F_536(x), F_537(x))<br />
  
    Eq(F_537(x), F_164(x)*F_4(x)*F_74(x))<br />
  
    Eq(F_538(x), F_124(x) - F_173(x) - F_539(x))<br />
  
    Eq(F_539(x), F_23(x)*F_74(x))<br />
  
    Eq(F_540(x), F_0(x) + F_124(x))<br />
  
    Eq(F_541(x), F_542(x))<br />
  
    Eq(F_542(x), F_23(x)*F_533(x))<br />
  
    Eq(F_543(x), F_122(x) + F_18(x))<br />
  
    Eq(F_544(x), F_545(x)*F_74(x))<br />
  
    Eq(F_545(x), F_546(x))<br />
  
    Eq(F_546(x), F_23(x)*F_547(x))<br />
  
    Eq(F_547(x), F_487(x) + F_548(x))<br />
  
    Eq(F_548(x), F_488(x) - F_549(x))<br />
  
    Eq(F_549(x), F_346(x) + F_487(x))<br />
  
    Eq(F_550(x), F_551(x) + F_562(x))<br />
  
    Eq(F_551(x), F_552(x))<br />
  
    Eq(F_552(x), F_23(x)*F_553(x))<br />
  
    Eq(F_553(x), F_554(x))<br />
  
    Eq(F_554(x), F_23(x)*F_555(x))<br />
  
    Eq(F_555(x), F_556(x) + F_560(x))<br />
  
    Eq(F_556(x), F_52(x)*F_557(x))<br />
  
    Eq(F_557(x), F_558(x) + F_559(x))<br />
  
    Eq(F_558(x), F_52(x)*F_59(x))<br />
  
    Eq(F_559(x), F_234(x)*F_495(x))<br />
  
    Eq(F_560(x), F_561(x))<br />
  
    Eq(F_561(x), F_234(x)*F_495(x)*F_74(x)**2)<br />
  
    Eq(F_562(x), F_563(x) - F_569(x))<br />
  
    Eq(F_563(x), F_564(x))<br />
  
    Eq(F_564(x), F_23(x)*F_565(x))<br />
  
    Eq(F_565(x), F_566(x) + F_567(x))<br />
  
    Eq(F_566(x), F_52(x)*F_56(x))<br />
  
    Eq(F_567(x), F_568(x))<br />
  
    Eq(F_568(x), F_120(x)*F_234(x))<br />
  
    Eq(F_569(x), F_551(x) + F_570(x))<br />
  
    Eq(F_570(x), F_571(x))<br />
  
    Eq(F_571(x), F_23(x)*F_557(x))<br />
  
    Eq(F_572(x), -F_562(x) + F_573(x))<br />
  
    Eq(F_573(x), F_1102(x) + F_574(x))<br />
  
    Eq(F_574(x), -F_1093(x) + F_575(x))<br />
  
    Eq(F_575(x), F_576(x) - F_582(x))<br />
  
    Eq(F_576(x), F_563(x) + F_577(x))<br />
  
    Eq(F_577(x), F_578(x)/F_23(x))<br />
  
    Eq(F_578(x), -F_173(x) + F_579(x) - F_581(x))<br />
  
    Eq(F_579(x), F_56(x) - F_580(x))<br />
  
    Eq(F_580(x), F_570(x) + F_59(x))<br />
  
    Eq(F_581(x), F_23(x)*F_323(x))<br />
  
    Eq(F_582(x), F_583(x)/F_23(x))<br />
  
    Eq(F_583(x), -F_210(x) + F_584(x) - F_628(x))<br />
  
    Eq(F_584(x), F_173(x) + F_585(x) + F_627(x))<br />
  
    Eq(F_585(x), F_586(x))<br />
  
    Eq(F_586(x), F_23(x)*F_587(x))<br />
  
    Eq(F_587(x), F_588(x))<br />
  
    Eq(F_588(x), F_23(x)*F_589(x))<br />
  
    Eq(F_589(x), F_590(x)/F_23(x))<br />
  
    Eq(F_590(x), F_591(x))<br />
  
    Eq(F_591(x), F_592(x)/F_0(x))<br />
  
    Eq(F_592(x), F_593(x) - F_595(x))<br />
  
    Eq(F_593(x), F_594(x)/F_23(x))<br />
  
    Eq(F_594(x), F_338(x))<br />
  
    Eq(F_595(x), F_596(x) + F_597(x))<br />
  
    Eq(F_596(x), F_0(x)*F_96(x))<br />
  
    Eq(F_597(x), F_598(x) + F_600(x))<br />
  
    Eq(F_598(x), F_599(x)*F_90(x))<br />
  
    Eq(F_599(x), F_100(x) + F_2(x))<br />
  
    Eq(F_600(x), F_601(x))<br />
  
    Eq(F_601(x), F_23(x)*F_602(x))<br />
  
    Eq(F_602(x), F_603(x) + F_606(x))<br />
  
    Eq(F_603(x), F_599(x)*F_604(x))<br />
  
    Eq(F_604(x), F_605(x)/F_23(x))<br />
  
    Eq(F_605(x), F_272(x))<br />
  
    Eq(F_606(x), F_607(x))<br />
  
    Eq(F_607(x), F_589(x)*F_608(x))<br />
  
    Eq(F_608(x), F_609(x))<br />
  
    Eq(F_609(x), F_23(x)*F_610(x))<br />
  
    Eq(F_610(x), F_611(x) + F_626(x))<br />
  
    Eq(F_611(x), F_102(x) + F_612(x))<br />
  
    Eq(F_612(x), F_613(x))<br />
  
    Eq(F_613(x), F_23(x)*F_614(x))<br />
  
    Eq(F_614(x), F_615(x) + F_625(x))<br />
  
    Eq(F_615(x), F_616(x) + F_617(x))<br />
  
    Eq(F_616(x), F_0(x)*F_4(x))<br />
  
    Eq(F_617(x), F_618(x) + F_619(x))<br />
  
    Eq(F_618(x), F_599(x)*F_61(x))<br />
  
    Eq(F_619(x), F_620(x))<br />
  
    Eq(F_620(x), F_23(x)*F_621(x))<br />
  
    Eq(F_621(x), F_622(x) + F_623(x))<br />
  
    Eq(F_622(x), F_56(x)*F_599(x))<br />
  
    Eq(F_623(x), F_624(x))<br />
  
    Eq(F_624(x), F_120(x)*F_608(x))<br />
  
    Eq(F_625(x), F_608(x)*F_74(x))<br />
  
    Eq(F_626(x), F_0(x)*F_124(x))<br />
  
    Eq(F_627(x), F_23(x)*F_604(x))<br />
  
    Eq(F_628(x), F_23(x)*F_629(x))<br />
  
    Eq(F_629(x), F_630(x) + F_643(x))<br />
  
    Eq(F_630(x), F_173(x) + F_631(x) + F_639(x))<br />
  
    Eq(F_631(x), F_632(x))<br />
  
    Eq(F_632(x), F_23(x)*F_633(x))<br />
  
    Eq(F_633(x), F_634(x))<br />
  
    Eq(F_634(x), F_23(x)*F_635(x))<br />
  
    Eq(F_635(x), F_589(x) + F_636(x))<br />
  
    Eq(F_636(x), F_637(x))<br />
  
    Eq(F_637(x), F_638(x))<br />
  
    Eq(F_638(x), F_177(x)*F_23(x)*F_495(x))<br />
  
    Eq(F_639(x), F_23(x)*F_640(x))<br />
  
    Eq(F_640(x), F_604(x) + F_641(x))<br />
  
    Eq(F_641(x), F_642(x))<br />
  
    Eq(F_642(x), F_177(x)*F_23(x)*F_59(x))<br />
  
    Eq(F_643(x), F_173(x) + F_644(x) + F_700(x) + F_705(x))<br />
  
    Eq(F_644(x), F_645(x))<br />
  
    Eq(F_645(x), F_23(x)*F_646(x))<br />
  
    Eq(F_646(x), F_647(x))<br />
  
    Eq(F_647(x), F_23(x)*F_648(x))<br />
  
    Eq(F_648(x), F_649(x)/F_23(x))<br />
  
    Eq(F_649(x), F_650(x))<br />
  
    Eq(F_650(x), F_651(x)/F_0(x))<br />
  
    Eq(F_651(x), F_652(x) - F_673(x))<br />
  
    Eq(F_652(x), F_653(x)/F_23(x))<br />
  
    Eq(F_653(x), F_654(x))<br />
  
    Eq(F_654(x), F_655(x) - F_671(x) - F_94(x))<br />
  
    Eq(F_655(x), F_656(x) + F_669(x))<br />
  
    Eq(F_656(x), F_657(x)/F_23(x))<br />
  
    Eq(F_657(x), -F_0(x) + F_658(x) - F_661(x) - F_665(x))<br />
  
    Eq(F_658(x), F_659(x) + F_96(x))<br />
  
    Eq(F_659(x), F_660(x))<br />
  
    Eq(F_660(x), F_23(x)*F_593(x))<br />
  
    Eq(F_661(x), F_662(x))<br />
  
    Eq(F_662(x), F_23(x)*F_663(x))<br />
  
    Eq(F_663(x), F_664(x)/F_23(x))<br />
  
    Eq(F_664(x), F_7(x))<br />
  
    Eq(F_665(x), F_23(x)*F_666(x))<br />
  
    Eq(F_666(x), F_658(x) + F_667(x))<br />
  
    Eq(F_667(x), F_668(x))<br />
  
    Eq(F_668(x), F_13(x)*F_177(x)*F_23(x))<br />
  
    Eq(F_669(x), F_670(x))<br />
  
    Eq(F_670(x), F_13(x)*F_177(x)*F_23(x))<br />
  
    Eq(F_671(x), F_672(x))<br />
  
    Eq(F_672(x), F_0(x)*F_177(x)*F_23(x))<br />
  
    Eq(F_673(x), F_674(x) + F_677(x))<br />
  
    Eq(F_674(x), F_675(x) + F_676(x))<br />
  
    Eq(F_675(x), F_0(x)*F_94(x))<br />
  
    Eq(F_676(x), F_177(x)*F_507(x))<br />
  
    Eq(F_677(x), F_678(x))<br />
  
    Eq(F_678(x), F_23(x)*F_679(x))<br />
  
    Eq(F_679(x), F_680(x) + F_698(x))<br />
  
    Eq(F_680(x), F_681(x) + F_684(x))<br />
  
    Eq(F_681(x), F_682(x) + F_683(x))<br />
  
    Eq(F_682(x), F_18(x)*F_94(x))<br />
  
    Eq(F_683(x), F_13(x)*F_177(x)*F_23(x))<br />
  
    Eq(F_684(x), F_177(x)*F_685(x))<br />
  
    Eq(F_685(x), F_686(x))<br />
  
    Eq(F_686(x), F_23(x)*F_687(x))<br />
  
    Eq(F_687(x), F_688(x) + F_696(x))<br />
  
    Eq(F_688(x), F_18(x) + F_689(x))<br />
  
    Eq(F_689(x), F_690(x))<br />
  
    Eq(F_690(x), F_23(x)*F_691(x))<br />
  
    Eq(F_691(x), F_692(x) + F_695(x))<br />
  
    Eq(F_692(x), F_693(x) + F_694(x))<br />
  
    Eq(F_693(x), F_18(x)*F_21(x))<br />
  
    Eq(F_694(x), F_122(x)*F_13(x))<br />
  
    Eq(F_695(x), F_13(x)*F_523(x))<br />
  
    Eq(F_696(x), F_697(x))<br />
  
    Eq(F_697(x), F_507(x)*F_74(x)**2)<br />
  
    Eq(F_698(x), F_699(x))<br />
  
    Eq(F_699(x), F_16(x)*F_650(x))<br />
  
    Eq(F_700(x), F_701(x))<br />
  
    Eq(F_701(x), F_23(x)*F_702(x))<br />
  
    Eq(F_702(x), F_703(x) + F_704(x))<br />
  
    Eq(F_703(x), F_168(x)*F_74(x))<br />
  
    Eq(F_704(x), F_168(x)*F_75(x))<br />
  
    Eq(F_705(x), F_23(x)*F_706(x))<br />
  
    Eq(F_706(x), F_707(x)/F_23(x))<br />
  
    Eq(F_707(x), F_708(x))<br />
  
    Eq(F_708(x), F_709(x)/F_23(x))<br />
  
    Eq(F_709(x), -F_1090(x) - F_173(x) + F_272(x) - F_710(x))<br />
  
    Eq(F_710(x), F_23(x)*F_711(x))<br />
  
    Eq(F_711(x), F_712(x)/F_23(x))<br />
  
    Eq(F_712(x), -F_1(x) - F_1089(x) + F_6(x) - F_713(x))<br />
  
    Eq(F_713(x), F_23(x)*F_714(x))<br />
  
    Eq(F_714(x), F_715(x)/F_23(x))<br />
  
    Eq(F_715(x), -F_1(x) + F_275(x) - F_716(x) - F_720(x))<br />
  
    Eq(F_716(x), F_23(x)*F_717(x))<br />
  
    Eq(F_717(x), F_718(x) + F_96(x))<br />
  
    Eq(F_718(x), F_719(x))<br />
  
    Eq(F_719(x), F_0(x)*F_74(x)*F_75(x))<br />
  
    Eq(F_720(x), F_23(x)*F_721(x))<br />
  
    Eq(F_721(x), F_275(x) + F_722(x))<br />
  
    Eq(F_722(x), F_723(x))<br />
  
    Eq(F_723(x), F_23(x)*F_724(x))<br />
  
    Eq(F_724(x), F_725(x) + F_821(x))<br />
  
    Eq(F_725(x), F_726(x) + F_819(x))<br />
  
    Eq(F_726(x), F_727(x) + F_732(x))<br />
  
    Eq(F_727(x), F_728(x) - F_730(x))<br />
  
    Eq(F_728(x), F_729(x)/F_23(x))<br />
  
    Eq(F_729(x), F_338(x))<br />
  
    Eq(F_730(x), F_731(x))<br />
  
    Eq(F_731(x), F_0(x)*F_124(x)*F_74(x)**2)<br />
  
    Eq(F_732(x), F_733(x) - F_814(x))<br />
  
    Eq(F_733(x), F_734(x)/F_23(x))<br />
  
    Eq(F_734(x), F_735(x))<br />
  
    Eq(F_735(x), -F_26(x) + F_736(x) - F_738(x) - F_752(x))<br />
  
    Eq(F_736(x), F_339(x) + F_737(x))<br />
  
    Eq(F_737(x), F_26(x)*F_52(x))<br />
  
    Eq(F_738(x), F_23(x)*F_739(x))<br />
  
    Eq(F_739(x), F_740(x) + F_744(x))<br />
  
    Eq(F_740(x), F_741(x))<br />
  
    Eq(F_741(x), F_26(x)*F_742(x))<br />
  
    Eq(F_742(x), F_743(x) + F_91(x))<br />
  
    Eq(F_743(x), F_74(x)**2)<br />
  
    Eq(F_744(x), F_282(x) + F_745(x))<br />
  
    Eq(F_745(x), F_746(x))<br />
  
    Eq(F_746(x), F_23(x)*F_26(x)*F_747(x))<br />
  
    Eq(F_747(x), F_748(x) + F_750(x))<br />
  
    Eq(F_748(x), F_749(x))<br />
  
    Eq(F_749(x), F_21(x)*F_74(x)*F_75(x))<br />
  
    Eq(F_750(x), F_751(x))<br />
  
    Eq(F_751(x), F_0(x)*F_702(x))<br />
  
    Eq(F_752(x), F_23(x)*F_753(x))<br />
  
    Eq(F_753(x), F_754(x) - F_806(x))<br />
  
    Eq(F_754(x), F_755(x)/F_23(x))<br />
  
    Eq(F_755(x), -F_4(x) + F_756(x) - F_783(x) - F_800(x) - F_804(x))<br />
  
    Eq(F_756(x), F_739(x) + F_757(x))<br />
  
    Eq(F_757(x), F_758(x) + F_779(x))<br />
  
    Eq(F_758(x), F_759(x) + F_96(x))<br />
  
    Eq(F_759(x), F_760(x))<br />
  
    Eq(F_760(x), F_173(x) + F_761(x) + F_763(x) + F_774(x))<br />
  
    Eq(F_761(x), F_762(x))<br />
  
    Eq(F_762(x), F_0(x)*F_23(x)*F_74(x)*F_75(x))<br />
  
    Eq(F_763(x), F_23(x)*F_764(x))<br />
  
    Eq(F_764(x), F_765(x))<br />
  
    Eq(F_765(x), F_23(x)*F_766(x))<br />
  
    Eq(F_766(x), F_767(x) + F_777(x))<br />
  
    Eq(F_767(x), F_768(x))<br />
  
    Eq(F_768(x), F_74(x)*F_769(x)*F_77(x))<br />
  
    Eq(F_769(x), F_1(x) + F_770(x) + F_774(x))<br />
  
    Eq(F_770(x), F_771(x))<br />
  
    Eq(F_771(x), F_23(x)*F_772(x))<br />
  
    Eq(F_772(x), F_26(x) + F_773(x))<br />
  
    Eq(F_773(x), F_0(x)*F_74(x))<br />
  
    Eq(F_774(x), F_23(x)*F_775(x))<br />
  
    Eq(F_775(x), F_769(x) + F_776(x))<br />
  
    Eq(F_776(x), F_760(x))<br />
  
    Eq(F_777(x), F_778(x))<br />
  
    Eq(F_778(x), F_0(x)*F_176(x)*F_74(x))<br />
  
    Eq(F_779(x), F_780(x))<br />
  
    Eq(F_780(x), F_23(x)*F_781(x))<br />
  
    Eq(F_781(x), F_756(x) + F_782(x))<br />
  
    Eq(F_782(x), F_304(x))<br />
  
    Eq(F_783(x), F_784(x))<br />
  
    Eq(F_784(x), F_23(x)*F_785(x))<br />
  
    Eq(F_785(x), F_786(x) + F_799(x))<br />
  
    Eq(F_786(x), F_787(x) - F_797(x))<br />
  
    Eq(F_787(x), F_788(x)/F_23(x))<br />
  
    Eq(F_788(x), F_789(x))<br />
  
    Eq(F_789(x), F_790(x))<br />
  
    Eq(F_790(x), F_23(x)*F_791(x))<br />
  
    Eq(F_791(x), F_792(x) + F_795(x))<br />
  
    Eq(F_792(x), F_59(x)*F_793(x))<br />
  
    Eq(F_793(x), F_711(x) + F_794(x))<br />
  
    Eq(F_794(x), F_719(x))<br />
  
    Eq(F_795(x), F_796(x))<br />
  
    Eq(F_796(x), F_299(x)*F_495(x))<br />
  
    Eq(F_797(x), F_798(x))<br />
  
    Eq(F_798(x), F_299(x)*F_74(x))<br />
  
    Eq(F_799(x), F_123(x)*F_96(x))<br />
  
    Eq(F_800(x), F_23(x)*F_801(x))<br />
  
    Eq(F_801(x), F_756(x) + F_802(x))<br />
  
    Eq(F_802(x), F_803(x))<br />
  
    Eq(F_803(x), F_23(x)*F_4(x)*F_766(x))<br />
  
    Eq(F_804(x), F_805(x))<br />
  
    Eq(F_805(x), F_23(x)*F_4(x)*F_775(x))<br />
  
    Eq(F_806(x), F_807(x)/F_23(x))<br />
  
    Eq(F_807(x), -F_0(x) + F_808(x) - F_811(x) - F_813(x))<br />
  
    Eq(F_808(x), F_152(x) + F_809(x))<br />
  
    Eq(F_809(x), F_810(x))<br />
  
    Eq(F_810(x), F_23(x)*F_9(x))<br />
  
    Eq(F_811(x), F_812(x))<br />
  
    Eq(F_812(x), F_23(x)*F_728(x))<br />
  
    Eq(F_813(x), F_23(x)*F_757(x))<br />
  
    Eq(F_814(x), F_815(x))<br />
  
    Eq(F_815(x), F_0(x)*F_74(x)**2*F_816(x))<br />
  
    Eq(F_816(x), F_817(x))<br />
  
    Eq(F_817(x), F_23(x)*F_818(x))<br />
  
    Eq(F_818(x), F_122(x) + F_523(x))<br />
  
    Eq(F_819(x), F_820(x))<br />
  
    Eq(F_820(x), F_0(x)*F_123(x)*F_74(x)**2)<br />
  
    Eq(F_821(x), F_1087(x) + F_822(x))<br />
  
    Eq(F_822(x), F_74(x)*F_823(x))<br />
  
    Eq(F_823(x), -F_1085(x) + F_824(x))<br />
  
    Eq(F_824(x), F_825(x)/F_74(x))<br />
  
    Eq(F_825(x), -F_1083(x) + F_826(x))<br />
  
    Eq(F_826(x), F_827(x) - F_837(x))<br />
  
    Eq(F_827(x), F_828(x)/F_23(x))<br />
  
    Eq(F_828(x), F_829(x))<br />
  
    Eq(F_829(x), F_727(x) - F_830(x))<br />
  
    Eq(F_830(x), F_831(x) - F_835(x))<br />
  
    Eq(F_831(x), F_832(x)/F_23(x))<br />
  
    Eq(F_832(x), F_833(x))<br />
  
    Eq(F_833(x), -F_0(x) + F_12(x) - F_834(x))<br />
  
    Eq(F_834(x), F_23(x)*F_269(x))<br />
  
    Eq(F_835(x), F_836(x))<br />
  
    Eq(F_836(x), F_0(x)*F_124(x)*F_74(x))<br />
  
    Eq(F_837(x), F_1081(x) + F_838(x))<br />
  
    Eq(F_838(x), F_1080(x) + F_727(x) + F_839(x))<br />
  
    Eq(F_839(x), F_840(x))<br />
  
    Eq(F_840(x), F_23(x)*F_841(x))<br />
  
    Eq(F_841(x), -F_1078(x) + F_842(x))<br />
  
    Eq(F_842(x), F_1077(x) + F_843(x))<br />
  
    Eq(F_843(x), -F_1036(x) + F_844(x))<br />
  
    Eq(F_844(x), F_845(x)/F_23(x))<br />
  
    Eq(F_845(x), F_846(x))<br />
  
    Eq(F_846(x), -F_1029(x) + F_847(x))<br />
  
    Eq(F_847(x), F_848(x)/F_23(x))<br />
  
    Eq(F_848(x), -F_0(x) + F_849(x) - F_855(x) - F_884(x) - F_886(x))<br />
  
    Eq(F_849(x), F_227(x) + F_850(x))<br />
  
    Eq(F_850(x), F_851(x))<br />
  
    Eq(F_851(x), F_23(x)*F_852(x))<br />
  
    Eq(F_852(x), F_853(x) + F_854(x))<br />
  
    Eq(F_853(x), F_227(x)*F_59(x))<br />
  
    Eq(F_854(x), F_462(x)*F_495(x))<br />
  
    Eq(F_855(x), F_856(x))<br />
  
    Eq(F_856(x), F_23(x)*F_857(x))<br />
  
    Eq(F_857(x), F_858(x) + F_883(x))<br />
  
    Eq(F_858(x), F_859(x) + F_881(x))<br />
  
    Eq(F_859(x), F_860(x) + F_873(x))<br />
  
    Eq(F_860(x), F_861(x) + F_96(x))<br />
  
    Eq(F_861(x), F_862(x))<br />
  
    Eq(F_862(x), F_23(x)*F_863(x))<br />
  
    Eq(F_863(x), F_864(x) + F_871(x))<br />
  
    Eq(F_864(x), F_865(x) + F_866(x))<br />
  
    Eq(F_865(x), F_4(x)**2)<br />
  
    Eq(F_866(x), F_867(x))<br />
  
    Eq(F_867(x), F_23(x)*F_868(x))<br />
  
    Eq(F_868(x), F_869(x) + F_870(x))<br />
  
    Eq(F_869(x), F_110(x)*F_4(x))<br />
  
    Eq(F_870(x), F_0(x)*F_123(x)*F_74(x))<br />
  
    Eq(F_871(x), F_872(x))<br />
  
    Eq(F_872(x), F_0(x)*F_23(x)*F_74(x)**2)<br />
  
    Eq(F_873(x), F_874(x))<br />
  
    Eq(F_874(x), F_0(x)*F_75(x)*F_875(x))<br />
  
    Eq(F_875(x), F_0(x) + F_876(x))<br />
  
    Eq(F_876(x), F_877(x))<br />
  
    Eq(F_877(x), F_23(x)*F_878(x))<br />
  
    Eq(F_878(x), F_879(x) + F_880(x))<br />
  
    Eq(F_879(x), F_0(x)*F_77(x))<br />
  
    Eq(F_880(x), F_124(x)*F_74(x))<br />
  
    Eq(F_881(x), F_882(x))<br />
  
    Eq(F_882(x), F_0(x)*F_74(x)*F_75(x)*F_875(x))<br />
  
    Eq(F_883(x), F_124(x)*F_4(x))<br />
  
    Eq(F_884(x), F_23(x)*F_885(x))<br />
  
    Eq(F_885(x), F_789(x) + F_793(x))<br />
  
    Eq(F_886(x), F_23(x)*F_887(x))<br />
  
    Eq(F_887(x), F_888(x) + F_889(x))<br />
  
    Eq(F_888(x), F_0(x)*F_711(x))<br />
  
    Eq(F_889(x), F_890(x))<br />
  
    Eq(F_890(x), F_23(x)*F_891(x))<br />
  
    Eq(F_891(x), F_1016(x) + F_892(x))<br />
  
    Eq(F_892(x), F_0(x)*F_893(x))<br />
  
    Eq(F_893(x), F_894(x)/F_23(x))<br />
  
    Eq(F_894(x), F_895(x))<br />
  
    Eq(F_895(x), -F_1005(x) + F_896(x))<br />
  
    Eq(F_896(x), F_897(x)/F_23(x))<br />
  
    Eq(F_897(x), -F_1(x) - F_1004(x) + F_253(x) - F_712(x) - F_898(x))<br />
  
    Eq(F_898(x), F_23(x)*F_899(x))<br />
  
    Eq(F_899(x), F_900(x)/F_23(x))<br />
  
    Eq(F_900(x), -F_1(x) - F_720(x) + F_901(x) - F_904(x) - F_908(x))<br />
  
    Eq(F_901(x), F_275(x) + F_902(x))<br />
  
    Eq(F_902(x), F_903(x))<br />
  
    Eq(F_903(x), F_23(x)*F_725(x))<br />
  
    Eq(F_904(x), F_23(x)*F_905(x))<br />
  
    Eq(F_905(x), F_717(x) + F_906(x))<br />
  
    Eq(F_906(x), F_907(x))<br />
  
    Eq(F_907(x), F_0(x)*F_74(x)**2*F_75(x))<br />
  
    Eq(F_908(x), F_23(x)*F_909(x))<br />
  
    Eq(F_909(x), F_721(x) + F_910(x))<br />
  
    Eq(F_910(x), F_911(x))<br />
  
    Eq(F_911(x), F_23(x)*F_912(x))<br />
  
    Eq(F_912(x), F_913(x) - F_965(x))<br />
  
    Eq(F_913(x), F_914(x)/F_23(x))<br />
  
    Eq(F_914(x), F_915(x))<br />
  
    Eq(F_915(x), -F_721(x) + F_916(x))<br />
  
    Eq(F_916(x), F_714(x) + F_917(x))<br />
  
    Eq(F_917(x), F_918(x))<br />
  
    Eq(F_918(x), F_23(x)*F_919(x))<br />
  
    Eq(F_919(x), F_920(x) + F_954(x))<br />
  
    Eq(F_920(x), F_921(x)/F_23(x))<br />
  
    Eq(F_921(x), F_922(x))<br />
  
    Eq(F_922(x), F_923(x) - F_933(x) - F_94(x))<br />
  
    Eq(F_923(x), F_924(x) + F_925(x))<br />
  
    Eq(F_924(x), F_4(x)*F_93(x))<br />
  
    Eq(F_925(x), F_926(x) + F_927(x))<br />
  
    Eq(F_926(x), F_61(x)*F_708(x))<br />
  
    Eq(F_927(x), F_928(x))<br />
  
    Eq(F_928(x), F_23(x)*F_929(x))<br />
  
    Eq(F_929(x), F_930(x) + F_931(x))<br />
  
    Eq(F_930(x), F_54(x)*F_706(x))<br />
  
    Eq(F_931(x), F_932(x))<br />
  
    Eq(F_932(x), F_506(x)*F_648(x))<br />
  
    Eq(F_933(x), F_23(x)*F_934(x))<br />
  
    Eq(F_934(x), F_935(x) - F_948(x))<br />
  
    Eq(F_935(x), F_936(x) + F_938(x))<br />
  
    Eq(F_936(x), F_937(x))<br />
  
    Eq(F_937(x), F_742(x)*F_94(x))<br />
  
    Eq(F_938(x), F_939(x))<br />
  
    Eq(F_939(x), F_23(x)*F_940(x))<br />
  
    Eq(F_940(x), F_941(x) + F_946(x))<br />
  
    Eq(F_941(x), F_94(x)*F_942(x))<br />
  
    Eq(F_942(x), F_943(x) + F_945(x))<br />
  
    Eq(F_943(x), F_289(x) + F_944(x))<br />
  
    Eq(F_944(x), F_749(x))<br />
  
    Eq(F_945(x), F_751(x))<br />
  
    Eq(F_946(x), F_947(x))<br />
  
    Eq(F_947(x), F_293(x)*F_650(x))<br />
  
    Eq(F_948(x), F_949(x))<br />
  
    Eq(F_949(x), F_23(x)*F_94(x)*F_950(x))<br />
  
    Eq(F_950(x), F_765(x) + F_769(x) + F_951(x) + F_953(x))<br />
  
    Eq(F_951(x), F_952(x))<br />
  
    Eq(F_952(x), F_0(x)*F_23(x)*F_74(x)**3)<br />
  
    Eq(F_953(x), F_776(x))<br />
  
    Eq(F_954(x), F_955(x))<br />
  
    Eq(F_955(x), F_23(x)*F_956(x))<br />
  
    Eq(F_956(x), F_957(x) + F_964(x))<br />
  
    Eq(F_957(x), F_958(x))<br />
  
    Eq(F_958(x), F_74(x)*F_77(x)*F_959(x))<br />
  
    Eq(F_959(x), F_960(x)/F_23(x))<br />
  
    Eq(F_960(x), F_961(x))<br />
  
    Eq(F_961(x), F_142(x) - F_773(x) - F_962(x))<br />
  
    Eq(F_962(x), F_963(x))<br />
  
    Eq(F_963(x), F_23(x)*F_293(x))<br />
  
    Eq(F_964(x), F_176(x)*F_831(x))<br />
  
    Eq(F_965(x), F_966(x))<br />
  
    Eq(F_966(x), F_74(x)**2*F_967(x))<br />
  
    Eq(F_967(x), F_257(x) + F_968(x))<br />
  
    Eq(F_968(x), F_969(x))<br />
  
    Eq(F_969(x), F_23(x)*F_970(x))<br />
  
    Eq(F_970(x), F_971(x) + F_996(x))<br />
  
    Eq(F_971(x), F_972(x) - F_981(x))<br />
  
    Eq(F_972(x), F_973(x)/F_23(x))<br />
  
    Eq(F_973(x), F_974(x))<br />
  
    Eq(F_974(x), F_975(x)/F_23(x))<br />
  
    Eq(F_975(x), -F_173(x) - F_904(x) + F_976(x) - F_977(x) - F_979(x))<br />
  
    Eq(F_976(x), -F_6(x) + F_714(x))<br />
  
    Eq(F_977(x), F_23(x)*F_978(x))<br />
  
    Eq(F_978(x), -F_253(x) + F_899(x))<br />
  
    Eq(F_979(x), F_23(x)*F_980(x))<br />
  
    Eq(F_980(x), -F_320(x) + F_916(x))<br />
  
    Eq(F_981(x), F_982(x) + F_996(x))<br />
  
    Eq(F_982(x), F_983(x)/F_23(x))<br />
  
    Eq(F_983(x), F_984(x))<br />
  
    Eq(F_984(x), -F_742(x) + F_985(x) - F_988(x) - F_992(x))<br />
  
    Eq(F_985(x), F_986(x)/F_23(x))<br />
  
    Eq(F_986(x), F_987(x))<br />
  
    Eq(F_987(x), F_275(x) - F_4(x))<br />
  
    Eq(F_988(x), F_23(x)*F_989(x))<br />
  
    Eq(F_989(x), F_604(x) + F_990(x))<br />
  
    Eq(F_990(x), F_991(x))<br />
  
    Eq(F_991(x), F_59(x)*F_74(x)*F_75(x))<br />
  
    Eq(F_992(x), F_993(x))<br />
  
    Eq(F_993(x), F_23(x)*F_994(x))<br />
  
    Eq(F_994(x), F_995(x)/F_23(x))<br />
  
    Eq(F_995(x), F_976(x))<br />
  
    Eq(F_996(x), F_997(x))<br />
  
    Eq(F_997(x), F_23(x)*F_495(x)*F_998(x))<br />
  
    Eq(F_998(x), F_999(x)/(F_124(x)*F_23(x)))<br />
  
    Eq(F_999(x), F_1000(x))<br />
  
    Eq(F_1000(x), F_1001(x) - F_1002(x))<br />
  
    Eq(F_1001(x), F_1002(x) + F_1003(x))<br />
  
    Eq(F_1002(x), F_122(x)*F_74(x))<br />
  
    Eq(F_1003(x), F_124(x)*F_167(x))<br />
  
    Eq(F_1004(x), F_23(x)*F_905(x))<br />
  
    Eq(F_1005(x), F_1006(x) + F_96(x))<br />
  
    Eq(F_1006(x), F_1007(x))<br />
  
    Eq(F_1007(x), F_1008(x)*F_23(x))<br />
  
    Eq(F_1008(x), F_1009(x) + F_1010(x))<br />
  
    Eq(F_1009(x), F_90(x)*F_96(x))<br />
  
    Eq(F_1010(x), F_1011(x))<br />
  
    Eq(F_1011(x), F_1012(x)*F_23(x))<br />
  
    Eq(F_1012(x), F_1013(x) + F_1014(x))<br />
  
    Eq(F_1013(x), F_604(x)*F_96(x))<br />
  
    Eq(F_1014(x), F_1015(x))<br />
  
    Eq(F_1015(x), F_295(x)*F_589(x))<br />
  
    Eq(F_1016(x), F_1017(x))<br />
  
    Eq(F_1017(x), F_1018(x)*F_124(x))<br />
  
    Eq(F_1018(x), F_1019(x)/F_23(x))<br />
  
    Eq(F_1019(x), F_1020(x))<br />
  
    Eq(F_1020(x), -F_1005(x) + F_1021(x))<br />
  
    Eq(F_1021(x), F_1022(x)/F_23(x))<br />
  
    Eq(F_1022(x), -F_0(x) - F_1023(x) + F_263(x) - F_834(x))<br />
  
    Eq(F_1023(x), F_1024(x))<br />
  
    Eq(F_1024(x), F_1025(x)*F_23(x))<br />
  
    Eq(F_1025(x), F_1026(x) + F_730(x))<br />
  
    Eq(F_1026(x), F_1027(x) + F_830(x))<br />
  
    Eq(F_1027(x), F_1028(x))<br />
  
    Eq(F_1028(x), F_23(x)*F_837(x))<br />
  
    Eq(F_1029(x), F_1030(x) - F_1035(x))<br />
  
    Eq(F_1030(x), F_1031(x)/F_23(x))<br />
  
    Eq(F_1031(x), F_1032(x))<br />
  
    Eq(F_1032(x), -F_0(x) - F_1033(x) - F_1034(x) + F_830(x))<br />
  
    Eq(F_1033(x), F_23(x)*F_859(x))<br />
  
    Eq(F_1034(x), F_23(x)*F_727(x))<br />
  
    Eq(F_1035(x), F_124(x)*F_275(x))<br />
  
    Eq(F_1036(x), F_1037(x))<br />
  
    Eq(F_1037(x), F_0(x)*F_1038(x)*F_74(x)**2)<br />
  
    Eq(F_1038(x), F_1039(x) - F_1076(x))<br />
  
    Eq(F_1039(x), F_1040(x)/F_23(x))<br />
  
    Eq(F_1040(x), F_1041(x))<br />
  
    Eq(F_1041(x), F_1042(x) - F_1066(x) - F_1068(x) - F_173(x))<br />
  
    Eq(F_1042(x), F_1043(x))<br />
  
    Eq(F_1043(x), F_1044(x)*F_23(x))<br />
  
    Eq(F_1044(x), F_1045(x)/F_257(x))<br />
  
    Eq(F_1045(x), F_1046(x))<br />
  
    Eq(F_1046(x), F_1047(x) - F_1059(x))<br />
  
    Eq(F_1047(x), F_1048(x)/F_23(x))<br />
  
    Eq(F_1048(x), F_1049(x))<br />
  
    Eq(F_1049(x), F_1050(x)*F_23(x))<br />
  
    Eq(F_1050(x), F_1051(x) + F_1057(x))<br />
  
    Eq(F_1051(x), F_0(x)*F_1052(x))<br />
  
    Eq(F_1052(x), F_1053(x) + F_1055(x))<br />
  
    Eq(F_1053(x), F_1054(x)/F_23(x))<br />
  
    Eq(F_1054(x), F_216(x))<br />
  
    Eq(F_1055(x), F_1056(x))<br />
  
    Eq(F_1056(x), F_257(x)*F_401(x))<br />
  
    Eq(F_1057(x), F_1058(x))<br />
  
    Eq(F_1058(x), F_124(x)*F_145(x))<br />
  
    Eq(F_1059(x), F_1060(x) + F_1065(x))<br />
  
    Eq(F_1060(x), F_1061(x)*F_152(x))<br />
  
    Eq(F_1061(x), F_1062(x)/F_23(x))<br />
  
    Eq(F_1062(x), F_1063(x))<br />
  
    Eq(F_1063(x), F_1064(x) + F_173(x) + F_833(x))<br />
  
    Eq(F_1064(x), F_23(x)*F_271(x))<br />
  
    Eq(F_1065(x), F_0(x)*F_166(x)*F_257(x))<br />
  
    Eq(F_1066(x), F_1067(x))<br />
  
    Eq(F_1067(x), F_23(x)*F_74(x)*F_875(x))<br />
  
    Eq(F_1068(x), F_1069(x)*F_23(x))<br />
  
    Eq(F_1069(x), F_1070(x) - F_1073(x))<br />
  
    Eq(F_1070(x), F_1071(x)/F_23(x))<br />
  
    Eq(F_1071(x), F_1072(x))<br />
  
    Eq(F_1072(x), F_26(x) + F_816(x))<br />
  
    Eq(F_1073(x), F_1074(x) + F_808(x))<br />
  
    Eq(F_1074(x), F_1075(x))<br />
  
    Eq(F_1075(x), F_124(x)*F_74(x)**2)<br />
  
    Eq(F_1076(x), F_123(x)*F_124(x))<br />
  
    Eq(F_1077(x), F_124(x)*F_726(x))<br />
  
    Eq(F_1078(x), F_1079(x))<br />
  
    Eq(F_1079(x), F_0(x)*F_74(x)*F_967(x))<br />
  
    Eq(F_1080(x), F_732(x))<br />
  
    Eq(F_1081(x), F_1082(x))<br />
  
    Eq(F_1082(x), F_0(x)*F_1042(x)*F_74(x)**2)<br />
  
    Eq(F_1083(x), F_1084(x))<br />
  
    Eq(F_1084(x), F_0(x)*F_166(x)*F_23(x)*F_967(x))<br />
  
    Eq(F_1085(x), F_1086(x))<br />
  
    Eq(F_1086(x), F_23(x)*F_59(x)*F_823(x))<br />
  
    Eq(F_1087(x), F_1088(x))<br />
  
    Eq(F_1088(x), F_166(x)*F_23(x)*F_967(x))<br />
  
    Eq(F_1089(x), F_23(x)*F_717(x))<br />
  
    Eq(F_1090(x), F_1091(x)*F_23(x))<br />
  
    Eq(F_1091(x), F_1092(x))<br />
  
    Eq(F_1092(x), F_23(x)*F_942(x))<br />
  
    Eq(F_1093(x), F_1094(x) + F_1096(x))<br />
  
    Eq(F_1094(x), F_1095(x) - F_584(x))<br />
  
    Eq(F_1095(x), F_570(x) + F_579(x))<br />
  
    Eq(F_1096(x), F_1097(x))<br />
  
    Eq(F_1097(x), F_1098(x)*F_75(x))<br />
  
    Eq(F_1098(x), F_1099(x) + F_1101(x) + F_173(x))<br />
  
    Eq(F_1099(x), F_1100(x))<br />
  
    Eq(F_1100(x), F_23(x)**2*F_495(x))<br />
  
    Eq(F_1101(x), F_23(x)*F_59(x))<br />
  
    Eq(F_1102(x), F_1103(x) - F_1107(x))<br />
  
    Eq(F_1103(x), F_1104(x) - F_1106(x))<br />
  
    Eq(F_1104(x), F_1105(x) + F_577(x))<br />
  
    Eq(F_1105(x), F_56(x) + F_563(x))<br />
  
    Eq(F_1106(x), F_56(x) + F_65(x))<br />
  
    Eq(F_1107(x), F_574(x) + F_579(x))<br />
  
    Eq(F_1108(x), F_1109(x))<br />
  
    Eq(F_1109(x), F_23(x)*F_971(x))<br />
  
    Eq(F_1110(x), F_1111(x))<br />
  
    Eq(F_1111(x), F_1112(x)*F_23(x))<br />
  
    Eq(F_1112(x), F_1113(x) - F_1115(x))<br />
  
    Eq(F_1113(x), F_1114(x)/F_23(x))<br />
  
    Eq(F_1114(x), F_297(x))<br />
  
    Eq(F_1115(x), F_1116(x))<br />
  
    Eq(F_1116(x), F_1117(x) + F_1122(x) + F_1138(x))<br />
  
    Eq(F_1117(x), F_1118(x))<br />
  
    Eq(F_1118(x), F_1119(x)*F_23(x))<br />
  
    Eq(F_1119(x), F_1120(x) + F_1121(x))<br />
  
    Eq(F_1120(x), F_59(x)*F_90(x))<br />
  
    Eq(F_1121(x), F_296(x)*F_495(x))<br />
  
    Eq(F_1122(x), F_1123(x))<br />
  
    Eq(F_1123(x), F_1124(x)*F_23(x))<br />
  
    Eq(F_1124(x), F_1125(x))<br />
  
    Eq(F_1125(x), F_1126(x) - F_1137(x))<br />
  
    Eq(F_1126(x), F_1127(x)/F_23(x))<br />
  
    Eq(F_1127(x), F_1128(x))<br />
  
    Eq(F_1128(x), F_1129(x)/F_23(x))<br />
  
    Eq(F_1129(x), -F_1130(x) - F_1132(x) - F_1134(x) - F_173(x) + F_315(x))<br />
  
    Eq(F_1130(x), F_1131(x)*F_23(x))<br />
  
    Eq(F_1131(x), F_721(x) + F_967(x))<br />
  
    Eq(F_1132(x), F_1133(x))<br />
  
    Eq(F_1133(x), F_2(x)*F_23(x)*F_74(x)**2)<br />
  
    Eq(F_1134(x), F_1135(x)*F_23(x))<br />
  
    Eq(F_1135(x), F_1091(x) + F_1136(x))<br />
  
    Eq(F_1136(x), F_297(x))<br />
  
    Eq(F_1137(x), F_310(x) + F_706(x))<br />
  
    Eq(F_1138(x), F_1139(x))<br />
  
    Eq(F_1139(x), F_1116(x)*F_23(x))<br />
  
    Eq(F_1140(x), F_1141(x))<br />
  
    Eq(F_1141(x), F_23(x)*F_297(x))<br />
  
    Eq(F_1142(x), F_1143(x))<br />
  
    Eq(F_1143(x), F_293(x)*F_523(x))<br />
  
    Eq(F_1144(x), F_1145(x))<br />
  
    Eq(F_1145(x), F_1146(x)*F_23(x))<br />
  
    Eq(F_1146(x), F_1147(x) + F_1151(x))<br />
  
    Eq(F_1147(x), F_1148(x) + F_1149(x))<br />
  
    Eq(F_1148(x), F_269(x)*F_43(x))<br />
  
    Eq(F_1149(x), F_1150(x))<br />
  
    Eq(F_1150(x), F_124(x)*F_511(x)*F_77(x))<br />
  
    Eq(F_1151(x), F_1152(x))<br />
  
    Eq(F_1152(x), F_1153(x)*F_511(x))<br />
  
    Eq(F_1153(x), F_1154(x) - F_1222(x))<br />
  
    Eq(F_1154(x), F_1155(x) + F_1159(x))<br />
  
    Eq(F_1155(x), F_1156(x) + F_591(x))<br />
  
    Eq(F_1156(x), F_1157(x))<br />
  
    Eq(F_1157(x), F_1158(x))<br />
  
    Eq(F_1158(x), F_23(x)*F_637(x))<br />
  
    Eq(F_1159(x), F_1160(x))<br />
  
    Eq(F_1160(x), F_1161(x)*F_23(x))<br />
  
    Eq(F_1161(x), F_1162(x) + F_1163(x))<br />
  
    Eq(F_1162(x), F_1155(x)*F_59(x))<br />
  
    Eq(F_1163(x), F_1164(x))<br />
  
    Eq(F_1164(x), F_1165(x)*F_495(x))<br />
  
    Eq(F_1165(x), F_1166(x))<br />
  
    Eq(F_1166(x), F_1167(x)*F_23(x))<br />
  
    Eq(F_1167(x), F_1168(x) + F_1182(x))<br />
  
    Eq(F_1168(x), F_1169(x))<br />
  
    Eq(F_1169(x), F_1170(x) - F_1181(x))<br />
  
    Eq(F_1170(x), F_1171(x)/F_507(x))<br />
  
    Eq(F_1171(x), F_1172(x))<br />
  
    Eq(F_1172(x), F_1173(x) - F_1219(x))<br />
  
    Eq(F_1173(x), F_1174(x) + F_1184(x))<br />
  
    Eq(F_1174(x), F_1175(x) + F_1179(x))<br />
  
    Eq(F_1175(x), F_0(x)*F_1176(x))<br />
  
    Eq(F_1176(x), F_1115(x) + F_1177(x))<br />
  
    Eq(F_1177(x), F_1178(x) + F_640(x))<br />
  
    Eq(F_1178(x), F_702(x))<br />
  
    Eq(F_1179(x), F_1180(x))<br />
  
    Eq(F_1180(x), F_1181(x)*F_507(x))<br />
  
    Eq(F_1181(x), F_1182(x) + F_635(x))<br />
  
    Eq(F_1182(x), F_1183(x))<br />
  
    Eq(F_1183(x), F_170(x)*F_23(x)*F_495(x))<br />
  
    Eq(F_1184(x), F_1185(x))<br />
  
    Eq(F_1185(x), F_1186(x) - F_1214(x))<br />
  
    Eq(F_1186(x), F_1187(x)/F_23(x))<br />
  
    Eq(F_1187(x), F_1188(x))<br />
  
    Eq(F_1188(x), F_1189(x) - F_1213(x))<br />
  
    Eq(F_1189(x), F_1190(x))<br />
  
    Eq(F_1190(x), F_1191(x) - F_666(x))<br />
  
    Eq(F_1191(x), F_1192(x)/F_23(x))<br />
  
    Eq(F_1192(x), -F_0(x) + F_1193(x) - F_1196(x) - F_1200(x) - F_1206(x))<br />
  
    Eq(F_1193(x), -F_1194(x) + F_663(x))<br />
  
    Eq(F_1194(x), F_1195(x))<br />
  
    Eq(F_1195(x), F_507(x)*F_74(x)*F_77(x))<br />
  
    Eq(F_1196(x), F_1197(x))<br />
  
    Eq(F_1197(x), F_1198(x)*F_23(x))<br />
  
    Eq(F_1198(x), F_1199(x)/F_23(x))<br />
  
    Eq(F_1199(x), F_252(x))<br />
  
    Eq(F_1200(x), F_1201(x)*F_23(x))<br />
  
    Eq(F_1201(x), F_1202(x) - F_1204(x))<br />
  
    Eq(F_1202(x), F_1203(x)/F_23(x))<br />
  
    Eq(F_1203(x), F_249(x))<br />
  
    Eq(F_1204(x), F_1205(x))<br />
  
    Eq(F_1205(x), F_507(x)*F_74(x)**2*F_77(x))<br />
  
    Eq(F_1206(x), F_1207(x)*F_23(x))<br />
  
    Eq(F_1207(x), F_1208(x) + F_656(x))<br />
  
    Eq(F_1208(x), F_1209(x) - F_1211(x))<br />
  
    Eq(F_1209(x), F_1210(x)/F_23(x))<br />
  
    Eq(F_1210(x), F_150(x))<br />
  
    Eq(F_1211(x), F_1212(x) + F_655(x))<br />
  
    Eq(F_1212(x), F_1195(x))<br />
  
    Eq(F_1213(x), F_0(x)*F_296(x))<br />
  
    Eq(F_1214(x), F_1174(x) - F_1215(x))<br />
  
    Eq(F_1215(x), F_1216(x) + F_1217(x))<br />
  
    Eq(F_1216(x), F_0(x)*F_1177(x))<br />
  
    Eq(F_1217(x), F_1218(x))<br />
  
    Eq(F_1218(x), F_507(x)*F_635(x))<br />
  
    Eq(F_1219(x), F_0(x)*F_1220(x))<br />
  
    Eq(F_1220(x), F_1176(x) + F_1221(x))<br />
  
    Eq(F_1221(x), F_1112(x))<br />
  
    Eq(F_1222(x), F_1223(x))<br />
  
    Eq(F_1223(x), F_1157(x) + F_1224(x))<br />
  
    Eq(F_1224(x), F_1225(x))<br />
  
    Eq(F_1225(x), F_1226(x)*F_23(x))<br />
  
    Eq(F_1226(x), F_1227(x))<br />
  
    Eq(F_1227(x), F_124(x)*F_177(x)*F_23(x)*F_4(x))<br />
  
    Eq(F_1228(x), F_1229(x))<br />
  
    Eq(F_1229(x), F_1230(x)*F_23(x))<br />
  
    Eq(F_1230(x), F_1231(x) + F_1232(x))<br />
  
    Eq(F_1231(x), F_243(x)*F_56(x))<br />
  
    Eq(F_1232(x), F_1233(x))<br />
  
    Eq(F_1233(x), F_120(x)*F_458(x))<br />
  
    Eq(F_1234(x), F_458(x)*F_74(x))<br />
  
    Eq(F_1235(x), F_1236(x) + F_1237(x) + 2*F_173(x))<br />
  
    Eq(F_1236(x), F_23(x)*F_238(x))<br />
  
    Eq(F_1237(x), F_23(x)*F_243(x))<br />
  
    Eq(F_1238(x), F_1239(x)*F_23(x))<br />
  
    Eq(F_1239(x), F_1240(x) + F_224(x))<br />
  
    Eq(F_1240(x), F_1241(x))<br />
  
    Eq(F_1241(x), F_1242(x)*F_23(x))<br />
  
    Eq(F_1242(x), F_1243(x) + F_1262(x))<br />
  
    Eq(F_1243(x), F_1244(x) + F_1245(x))<br />
  
    Eq(F_1244(x), F_54(x)*F_93(x))<br />
  
    Eq(F_1245(x), F_1246(x))<br />
  
    Eq(F_1246(x), F_1247(x)*F_74(x)*F_77(x))<br />
  
    Eq(F_1247(x), F_1248(x) + F_1257(x) + F_1258(x) + F_173(x))<br />
  
    Eq(F_1248(x), F_1249(x)*F_23(x))<br />
  
    Eq(F_1249(x), F_1250(x))<br />
  
    Eq(F_1250(x), F_1251(x)*F_23(x))<br />
  
    Eq(F_1251(x), F_1252(x) + F_1256(x))<br />
  
    Eq(F_1252(x), F_1253(x) + F_142(x))<br />
  
    Eq(F_1253(x), F_1254(x))<br />
  
    Eq(F_1254(x), F_1255(x)*F_23(x))<br />
  
    Eq(F_1255(x), F_35(x) + F_688(x))<br />
  
    Eq(F_1256(x), F_506(x)*F_74(x))<br />
  
    Eq(F_1257(x), F_23(x)*F_54(x))<br />
  
    Eq(F_1258(x), F_1259(x)*F_23(x))<br />
  
    Eq(F_1259(x), F_1260(x))<br />
  
    Eq(F_1260(x), F_1261(x)*F_23(x))<br />
  
    Eq(F_1261(x), F_493(x) + F_548(x))<br />
  
    Eq(F_1262(x), F_1263(x) + F_925(x))<br />
  
    Eq(F_1263(x), F_1264(x))<br />
  
    Eq(F_1264(x), F_142(x)*F_176(x)*F_23(x))<br />
  
    Eq(F_1265(x), F_1266(x) + F_1267(x))<br />
  
    Eq(F_1266(x), F_224(x)*F_37(x))<br />
  
    Eq(F_1267(x), F_1259(x)*F_75(x))<br />
  
    Eq(F_1268(x), F_1269(x))<br />
  
    Eq(F_1269(x), F_1270(x)*F_23(x))<br />
  
    Eq(F_1270(x), F_1271(x) + F_1274(x))<br />
  
    Eq(F_1271(x), F_1272(x) + F_1273(x))<br />
  
    Eq(F_1272(x), F_152(x)*F_56(x))<br />
  
    Eq(F_1273(x), F_166(x)*F_257(x))<br />
  
    Eq(F_1274(x), F_1275(x))<br />
  
    Eq(F_1275(x), F_120(x)*F_257(x))<br />
  
    Eq(F_1276(x), F_1277(x) + F_1279(x) + F_1303(x) + F_173(x))<br />
  
    Eq(F_1277(x), F_1278(x))<br />
  
    Eq(F_1278(x), F_138(x)*F_23(x)*F_74(x))<br />
  
    Eq(F_1279(x), F_1280(x)*F_23(x))<br />
  
    Eq(F_1280(x), F_1281(x))<br />
  
    Eq(F_1281(x), F_1282(x)*F_23(x))<br />
  
    Eq(F_1282(x), F_1283(x) + F_1301(x))<br />
  
    Eq(F_1283(x), F_1284(x) + F_1299(x))<br />
  
    Eq(F_1284(x), F_1285(x) + F_1286(x))<br />
  
    Eq(F_1285(x), F_346(x)*F_52(x))<br />
  
    Eq(F_1286(x), F_1287(x))<br />
  
    Eq(F_1287(x), F_1288(x)*F_140(x))<br />
  
    Eq(F_1288(x), F_1289(x))<br />
  
    Eq(F_1289(x), F_1290(x)*F_23(x))<br />
  
    Eq(F_1290(x), F_1291(x) + F_1295(x))<br />
  
    Eq(F_1291(x), F_1292(x) + F_52(x))<br />
  
    Eq(F_1292(x), F_1293(x) + F_402(x))<br />
  
    Eq(F_1293(x), F_1294(x))<br />
  
    Eq(F_1294(x), F_23(x)*F_74(x)*F_75(x))<br />
  
    Eq(F_1295(x), -F_1292(x) + F_1296(x))<br />
  
    Eq(F_1296(x), F_1297(x)/F_23(x))<br />
  
    Eq(F_1297(x), F_1298(x))<br />
  
    Eq(F_1298(x), F_402(x) - F_75(x))<br />
  
    Eq(F_1299(x), F_1300(x))<br />
  
    Eq(F_1300(x), F_548(x)*F_74(x)**2)<br />
  
    Eq(F_1301(x), F_1302(x))<br />
  
    Eq(F_1302(x), F_471(x)*F_74(x)**2)<br />
  
    Eq(F_1303(x), F_1304(x))<br />
  
    Eq(F_1304(x), F_23(x)*F_491(x))<br />
  
    Eq(F_1305(x), F_1306(x))<br />
  
    Eq(F_1306(x), F_123(x)*F_143(x))<br />
  
    Eq(F_1307(x), F_1308(x) + F_1309(x))<br />
  
    Eq(F_1308(x), F_1276(x)*F_4(x))<br />
  
    Eq(F_1309(x), F_1310(x))<br />
  
    Eq(F_1310(x), F_123(x)*F_138(x)*F_74(x))<br />
  
    Eq(F_1311(x), F_256(x))<br />
  
    Eq(F_1312(x), F_1313(x))<br />
  
    Eq(F_1313(x), F_158(x)*F_23(x)*F_4(x))<br />
  
    Eq(F_1314(x), -F_1315(x) + F_140(x))<br />
  
    Eq(F_1315(x), F_142(x) + F_264(x))<br />
  
    Eq(F_1316(x), F_164(x)*F_260(x))<br />
  
    Eq(F_1317(x), F_1318(x))<br />
  
    Eq(F_1318(x), F_1319(x) - F_1337(x))<br />
  
    Eq(F_1319(x), F_1320(x)/F_23(x))<br />
  
    Eq(F_1320(x), F_1321(x))<br />
  
    Eq(F_1321(x), F_1322(x) - F_160(x))<br />
  
    Eq(F_1322(x), F_1323(x) + F_152(x))<br />
  
    Eq(F_1323(x), F_1324(x))<br />
  
    Eq(F_1324(x), F_1325(x)*F_23(x))<br />
  
    Eq(F_1325(x), F_1326(x) + F_246(x))<br />
  
    Eq(F_1326(x), F_1327(x))<br />
  
    Eq(F_1327(x), F_1328(x) + F_1335(x))<br />
  
    Eq(F_1328(x), F_1329(x))<br />
  
    Eq(F_1329(x), F_1330(x)*F_74(x))<br />
  
    Eq(F_1330(x), F_1331(x))<br />
  
    Eq(F_1331(x), F_1332(x)*F_23(x)*F_74(x))<br />
  
    Eq(F_1332(x), F_1333(x)/F_23(x))<br />
  
    Eq(F_1333(x), F_1334(x))<br />
  
    Eq(F_1334(x), F_1259(x) + F_234(x))<br />
  
    Eq(F_1335(x), F_1336(x))<br />
  
    Eq(F_1336(x), F_23(x)*F_257(x)*F_998(x))<br />
  
    Eq(F_1337(x), F_1338(x) + F_1344(x))<br />
  
    Eq(F_1338(x), F_1339(x)/F_23(x))<br />
  
    Eq(F_1339(x), -F_1340(x) - F_4(x) + F_441(x))<br />
  
    Eq(F_1340(x), F_1341(x))<br />
  
    Eq(F_1341(x), F_1342(x)*F_23(x))<br />
  
    Eq(F_1342(x), F_1343(x)/F_23(x))<br />
  
    Eq(F_1343(x), F_7(x))<br />
  
    Eq(F_1344(x), F_1345(x) - F_1347(x))<br />
  
    Eq(F_1345(x), F_1346(x)/F_23(x))<br />
  
    Eq(F_1346(x), F_237(x))<br />
  
    Eq(F_1347(x), F_1348(x))<br />
  
    Eq(F_1348(x), F_1314(x)*F_74(x))<br />
  
    Eq(F_1349(x), F_158(x)*F_23(x))<br />
  
    Eq(F_1350(x), F_4(x) + F_506(x))<br />
  
    Eq(F_1351(x), F_1352(x) + F_155(x))<br />
  
    Eq(F_1352(x), F_1353(x))<br />
  
    Eq(F_1353(x), F_257(x)*F_74(x))<br />
  
    Eq(F_1354(x), F_138(x)*F_74(x))<br />
  
    Eq(F_1355(x), F_1356(x))<br />
  
    Eq(F_1356(x), F_124(x)*F_1357(x))<br />
  
    Eq(F_1357(x), F_11(x) + F_1256(x))<br />
  
    Eq(F_1358(x), F_1359(x))<br />
  
    Eq(F_1359(x), F_122(x)*F_23(x)*F_74(x))<br />
  
    Eq(F_1360(x), F_1361(x))<br />
  
    Eq(F_1361(x), F_1362(x)*F_2(x)*F_23(x)*F_74(x))<br />
  
    Eq(F_1362(x), F_1363(x)/(F_23(x)*F_74(x)))<br />
  
    Eq(F_1363(x), F_91(x))<br />
  
    Eq(F_1364(x), F_1365(x))<br />
  
    Eq(F_1365(x), F_1362(x)*F_2(x)*F_23(x))<br />
  
    Eq(F_1366(x), F_1367(x)*F_2(x))<br />
  
    Eq(F_1367(x), F_1368(x)/F_23(x))<br />
  
    Eq(F_1368(x), -F_1(x) - F_1369(x) + F_90(x))<br />
  
    Eq(F_1369(x), F_1362(x)*F_23(x))<br />
  
    Eq(F_1370(x), F_23(x)*F_758(x))<br />
  
    Eq(F_1371(x), F_1(x) + F_1372(x))<br />
  
    Eq(F_1372(x), F_1373(x))<br />
  
    Eq(F_1373(x), F_1371(x)*F_23(x))<br />
  
    Eq(F_1374(x), F_23(x)*F_604(x))<br />
  
    Eq(F_1375(x), F_1376(x))<br />
  
    Eq(F_1376(x), F_23(x)*F_985(x))<br />
  
    Eq(F_1377(x), F_1378(x) + F_72(x))<br />
  
    Eq(F_1378(x), F_52(x)*F_61(x))<br />
  
    Eq(F_1379(x), F_1380(x)*F_495(x))<br />
  
    Eq(F_1380(x), F_1381(x))<br />
  
    Eq(F_1381(x), F_1382(x)*F_23(x))<br />
  
    Eq(F_1382(x), F_1383(x) + F_1395(x))<br />
  
    Eq(F_1383(x), F_1384(x)/F_23(x))<br />
  
    Eq(F_1384(x), F_1385(x))<br />
  
    Eq(F_1385(x), F_1386(x) - F_1388(x))<br />
  
    Eq(F_1386(x), F_1387(x)/F_23(x))<br />
  
    Eq(F_1387(x), F_230(x))<br />
  
    Eq(F_1388(x), F_1389(x) - F_1392(x))<br />
  
    Eq(F_1389(x), F_1390(x) + F_1391(x))<br />
  
    Eq(F_1390(x), F_4(x)*F_61(x))<br />
  
    Eq(F_1391(x), F_0(x)*F_72(x))<br />
  
    Eq(F_1392(x), F_1393(x) + F_1394(x))<br />
  
    Eq(F_1393(x), F_2(x)*F_81(x))<br />
  
    Eq(F_1394(x), F_336(x)*F_61(x))<br />
  
    Eq(F_1395(x), F_1396(x))<br />
  
    Eq(F_1396(x), F_1397(x)*F_23(x))<br />
  
    Eq(F_1397(x), F_1398(x)/F_23(x))<br />
  
    Eq(F_1398(x), F_1399(x))<br />
  
    Eq(F_1399(x), F_1400(x) + F_1402(x) + F_234(x))<br />
  
    Eq(F_1400(x), F_1401(x))<br />
  
    Eq(F_1401(x), F_1399(x)*F_23(x)*F_74(x))<br />
  
    Eq(F_1402(x), F_1403(x)*F_23(x))<br />
  
    Eq(F_1403(x), F_1404(x)/F_23(x))<br />
  
    Eq(F_1404(x), F_1405(x) - F_1439(x) - F_1441(x) - F_173(x))<br />
  
    Eq(F_1405(x), F_1406(x) + F_1433(x))<br />
  
    Eq(F_1406(x), F_1407(x) + F_1427(x))<br />
  
    Eq(F_1407(x), F_1408(x) + F_1426(x) + F_173(x))<br />
  
    Eq(F_1408(x), F_1409(x)*F_23(x))<br />
  
    Eq(F_1409(x), F_1410(x) + F_1411(x) + F_1416(x) + F_61(x))<br />
  
    Eq(F_1410(x), F_23(x)*F_61(x)*F_96(x))<br />
  
    Eq(F_1411(x), F_1412(x))<br />
  
    Eq(F_1412(x), F_1413(x)*F_23(x))<br />
  
    Eq(F_1413(x), F_1414(x) + F_1415(x))<br />
  
    Eq(F_1414(x), F_102(x)*F_81(x))<br />
  
    Eq(F_1415(x), F_338(x)*F_61(x))<br />
  
    Eq(F_1416(x), F_1417(x))<br />
  
    Eq(F_1417(x), F_1418(x)*F_23(x))<br />
  
    Eq(F_1418(x), F_1419(x) + F_1420(x))<br />
  
    Eq(F_1419(x), F_1409(x)*F_61(x))<br />
  
    Eq(F_1420(x), F_1421(x))<br />
  
    Eq(F_1421(x), F_1422(x)*F_23(x))<br />
  
    Eq(F_1422(x), F_1423(x) + F_1424(x))<br />
  
    Eq(F_1423(x), F_1418(x)*F_74(x))<br />
  
    Eq(F_1424(x), F_1425(x))<br />
  
    Eq(F_1425(x), F_102(x)*F_1386(x)*F_164(x))<br />
  
    Eq(F_1426(x), F_1399(x)*F_23(x))<br />
  
    Eq(F_1427(x), F_1428(x))<br />
  
    Eq(F_1428(x), F_1429(x)*F_23(x))<br />
  
    Eq(F_1429(x), F_1430(x) + F_1431(x))<br />
  
    Eq(F_1430(x), F_1407(x)*F_52(x))<br />
  
    Eq(F_1431(x), F_1432(x))<br />
  
    Eq(F_1432(x), F_166(x)*F_234(x))<br />
  
    Eq(F_1433(x), F_1434(x))<br />
  
    Eq(F_1434(x), F_1435(x)*F_23(x))<br />
  
    Eq(F_1435(x), F_1436(x) + F_1437(x))<br />
  
    Eq(F_1436(x), F_1405(x)*F_74(x))<br />
  
    Eq(F_1437(x), F_1438(x))<br />
  
    Eq(F_1438(x), F_102(x)*F_1386(x)*F_164(x)*F_23(x))<br />
  
    Eq(F_1439(x), F_1440(x))<br />
  
    Eq(F_1440(x), F_1418(x)*F_23(x))<br />
  
    Eq(F_1441(x), F_1442(x))<br />
  
    Eq(F_1442(x), F_1399(x)*F_23(x)*F_74(x))<br />
  
    Eq(F_1443(x), F_256(x))<br />
  
    Eq(F_1444(x), F_1445(x))<br />
  
    Eq(F_1445(x), F_122(x)*F_511(x))<br />
  
    Eq(F_1446(x), F_1447(x))<br />
  
    Eq(F_1447(x), F_511(x)*F_523(x))<br />
  
    Eq(F_1448(x), F_1449(x))<br />
  
    Eq(F_1449(x), F_509(x)*F_74(x)**2)<br />
  
    Eq(F_1450(x), F_1451(x))<br />
  
    Eq(F_1451(x), F_1452(x)*F_23(x))<br />
  
    Eq(F_1452(x), F_1453(x) + F_1457(x))<br />
  
    Eq(F_1453(x), F_1454(x))<br />
  
    Eq(F_1454(x), F_1455(x)*F_23(x))<br />
  
    Eq(F_1455(x), F_1456(x)/F_23(x))<br />
  
    Eq(F_1456(x), F_35(x))<br />
  
    Eq(F_1457(x), F_1458(x))<br />
  
    Eq(F_1458(x), F_1459(x)*F_23(x)*F_4(x))<br />
  
    Eq(F_1459(x), F_1460(x) + F_1463(x) + F_1465(x) + F_1470(x))<br />
  
    Eq(F_1460(x), F_12(x) + F_1461(x))<br />
  
    Eq(F_1461(x), F_1462(x) + F_173(x) + F_427(x))<br />
  
    Eq(F_1462(x), F_1332(x)*F_23(x))<br />
  
    Eq(F_1463(x), F_1464(x))<br />
  
    Eq(F_1464(x), F_142(x)*F_23(x)*F_74(x)**2)<br />
  
    Eq(F_1465(x), F_1466(x)*F_23(x))<br />
  
    Eq(F_1466(x), F_1467(x) + F_1468(x))<br />
  
    Eq(F_1467(x), F_1460(x)*F_77(x))<br />
  
    Eq(F_1468(x), F_1469(x))<br />
  
    Eq(F_1469(x), F_142(x)*F_172(x))<br />
  
    Eq(F_1470(x), F_1471(x)*F_23(x))<br />
  
    Eq(F_1471(x), F_1472(x) + F_1474(x))<br />
  
    Eq(F_1472(x), F_1473(x))<br />
  
    Eq(F_1473(x), F_1460(x)*F_74(x)*F_77(x))<br />
  
    Eq(F_1474(x), F_1475(x))<br />
  
    Eq(F_1475(x), F_142(x)*F_176(x))<br />
  
    Eq(F_1476(x), F_507(x)*F_74(x))<br />
  
    Eq(F_1477(x), F_152(x)*F_23(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_row_placements_req_corrob_symmetries&#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, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2], [2, 1, 4, 0, 3]], &#34;symmetry&#34;: true}, {&#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, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2], [2, 1, 4, 0, 3]], &#34;symmetry&#34;: true}], &#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;: false}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: [[0, 2, 4, 1, 3], [0, 3, 4, 1, 2], [0, 4, 3, 1, 2], [1, 2, 4, 0, 3], [1, 3, 4, 0, 2], [1, 4, 3, 0, 2], [2, 1, 4, 0, 3]]}], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 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[0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}], &#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_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;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 2}, {&#34;class_module&#34;: 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[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 1]], [[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;: [{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#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;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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#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;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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#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_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;: 3, &#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, 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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 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], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;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;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 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], [1, 0], [3, 0]], [[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;, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#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;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, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#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], [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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#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], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [3, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 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[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], 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1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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, 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;: 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2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [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, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [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;: [[1, 1], [2, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [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;, 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[0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: 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0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 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, 1], [1, 1], [2, 1], [4, 1]], [[3, 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;: 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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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1], [4, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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, 1], [3, 1]]}, {&#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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 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], [0, 1], [3, 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], [0, 1], [3, 1]]}, {&#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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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, 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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 1], [1, 1]]}, {&#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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 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;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 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[[2, 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;: [[1, 0]]}], &#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;: 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, 0]]}, 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[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, 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[[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 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, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 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&#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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [5, 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], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [5, 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], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [5, 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;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#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], &#34;pos&#34;: [[0, 0]]}, {&#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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#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, 1], [5, 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;: [[2, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [5, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 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2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#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, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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, 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], &#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], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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]]}, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 2], [4, 2]], [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 3], [4, 1], [4, 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;: [[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, 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;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 3]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [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;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 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&#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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#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;idx&#34;: 3}, {&#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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: 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&#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;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 4}, {&#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;: 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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], [2, 2], [3, 0], [4, 0], [4, 2], [5, 0], [5, 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;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 4}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [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, 2], [1, 0], [2, 0], [2, 2]], [[3, 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;, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 2], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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]]}, 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[3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [3, 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], [3, 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], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#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;: [[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, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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;class_module&#34;: &#34;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, 3], [3, 3], [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;, 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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], &#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, 2], [2, 0], [3, 2], [4, 0], [5, 0], [7, 0]], [[6, 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;, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [6, 1], [6, 1], [6, 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;, 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&#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 4}, {&#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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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 1], [3, 0], [3, 1], [4, 1], [5, 1]], [[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;: {&#34;class_module&#34;: &#34;tilings.tiling&#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;: [[4, 1]]}, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 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;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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}], &#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;: [[0, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 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_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;: [[1, 2]]}], &#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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 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], [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;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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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, 0]]}, {&#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, 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, 1], [1, 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, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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], [2, 3], [3, 2], [4, 0], [4, 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, 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, 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;: [[1, 1], [1, 1]]}, {&#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;: [[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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, 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2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 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], [1, 1], [3, 1], [3, 2], [4, 0], [4, 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;: &#34;tilings.tiling&#34;, &#34;comb_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, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [], &#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;: [[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, 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, 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;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 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, 2], [4, 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], [2, 2], [4, 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, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 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], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 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, 1]]}, {&#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;: [[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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 0], [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;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#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;idx&#34;: 3}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 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;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [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;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 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, 1], [4, 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], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 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;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#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], &#34;pos&#34;: [[0, 0]]}, {&#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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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, 1], [4, 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, 1], [4, 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;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: 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{&#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;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 3, &#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], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 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_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;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;: 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1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 1]]}], &#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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[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], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 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;, 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0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], 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&#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 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, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: 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[[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], 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4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [4, 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], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 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;: [[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;: [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], &#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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], [2, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [3, 1]]}, {&#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], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: [[1, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#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, 1], [0, 0], [2, 0]]}, {&#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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#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;: true, &#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;: 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[[3, 6], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 3], [3, 6]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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[]}], &#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 3, &#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, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 2], [4, 2], [5, 2]], [[3, 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;: [[1, 1]]}, {&#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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 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, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#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, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [4, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [4, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], 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&#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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&#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#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, 0], [3, 1], [4, 0], [5, 1], [6, 1]], [[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]]}, 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[[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 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;: [[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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}], &#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;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;: [[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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 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;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 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, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, 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1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], 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[2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}], &#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], [2, 1], [2, 4], [3, 0], [3, 2], [3, 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;: 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[2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 3], [3, 1], [3, 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;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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], [1, 1], [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;: [[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, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#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, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [2, 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], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 2], [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, 0], [2, 0], [2, 1], [2, 3], [3, 1], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}], &#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;: [[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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 3], [0, 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, 1], [0, 3], [0, 4], [2, 0], [2, 3], [3, 4], [4, 4]], [[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;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#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;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 2], [1, 0], [3, 0], [3, 2]], [[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;: 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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;: [[4, 0]]}, {&#34;patt&#34;: 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2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [1, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 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, 2], [4, 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;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, 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2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], 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&#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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#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;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;: [[0, 1]]}, {&#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, 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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 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, 2], [5, 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, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#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, 0], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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], &#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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 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, 1], [4, 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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [4, 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;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 2], [1, 2], [2, 0], [4, 0], [4, 2], [5, 2]], [[3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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], &#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], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: true, &#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;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 1], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], 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0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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], [1, 1], [2, 1], [2, 2], [4, 1], [4, 2]], [[3, 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;: [{&#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;: [[0, 1], [0, 1]]}, {&#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 1], [2, 1], [3, 1]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 1], [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;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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, 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, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [1, 0], [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, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [8, 2], [8, 2], [8, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [8, 2], [8, 2], [8, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [8, 2], [8, 2], [8, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}], &#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]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [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, 2], [1, 0], [2, 0], [2, 2], [3, 2], [5, 2]], [[4, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, 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[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 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[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [6, 1], [6, 1], [6, 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, 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1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}], &#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], 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1], [2, 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, 1], [2, 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], [0, 0], [2, 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], [0, 0], [2, 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], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], 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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, 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;: [[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;: [[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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [2, 0]]}, {&#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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 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, 2], [0, 0], [2, 0]]}, {&#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;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#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, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: true, &#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;: [{&#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 3]]}, {&#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, 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, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 3]]}, {&#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], [2, 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, 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], [2, 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;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [6, 3]]}, {&#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, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [6, 3]]}, {&#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, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [6, 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], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [6, 3]]}, {&#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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [6, 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], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [2, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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], [1, 0], [2, 3], [3, 1], [4, 3], [6, 3]], [[5, 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;: 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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;: [[3, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#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], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#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]]}, 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1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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], &#34;pos&#34;: [[0, 0]]}, {&#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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 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, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 1]]}, {&#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, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 2], [1, 2], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: [[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;: {&#34;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;: [[2, 0]]}, {&#34;patt&#34;: [0], 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0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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_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;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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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, 1], [3, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#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, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 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0], [1, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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, 1], [3, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#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, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[4, 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;: [[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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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&#34;obstructions&#34;: [{&#34;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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 2], [1, 2], [2, 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], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#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;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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, 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1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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, 2], [2, 0], [4, 0], [4, 2], [5, 2]], [[3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [4, 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;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [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;: [[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;: true, &#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;: [{&#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], &#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], 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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, 1], [0, 2], [0, 4], [1, 0], [1, 1], [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, 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;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: 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[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [5, 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], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 2]]}, {&#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], [2, 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;: [[1, 1], [1, 2], [2, 2]]}, 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2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}], &#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 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;: [[2, 1]]}, {&#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, 1]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [7, 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;: [[1, 2], [4, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 2], [6, 2], [7, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], 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2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [8, 2], [8, 2], [8, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 1], [2, 1], [2, 3], [3, 3], [4, 0], [4, 1], [5, 3], [6, 1], [7, 3], [9, 3]], [[8, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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[0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#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, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [6, 2], [7, 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;: [[1, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [7, 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;: [[1, 2], [4, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [5, 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;: [[4, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 2], [6, 2], [7, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], 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[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [5, 2], [5, 1], [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;strategy&#34;: {&#34;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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[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 2], [4, 1], [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], &#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, 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, 0]]}, {&#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, 2]]}, {&#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, 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, 1], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 3]]}, {&#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, 2], [4, 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, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [4, 1]]}, {&#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, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [4, 1]]}, {&#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], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 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1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 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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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, 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2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: 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[1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 1], [3, 1]], [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[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], [2, 1], [3, 1], [4, 1]], [[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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, 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1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#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, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 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[[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 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&#34;obstructions&#34;: [{&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 1], [3, 1], [4, 1]], [[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], 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[1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 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[[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 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, 0], [3, 0]]}, {&#34;patt&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 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], 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [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, 1], [2, 1], [3, 1], [4, 1]], [[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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 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], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 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&#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [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, 1], [1, 1], [2, 1], [4, 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;: 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[[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [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, 1], [2, 1], [3, 1], [4, 1]], [[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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#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, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], 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&#34;partition&#34;: [[[0, 3]], [[1, 0], [2, 0]], [[3, 1]], [[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, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 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[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 1], [3, 1], [4, 1], [5, 1]], [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 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], [1, 0], [2, 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], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: 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[[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, 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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;: [[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, 1], &#34;pos&#34;: [[0, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 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], [3, 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, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [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;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 2], [3, 1], [3, 1]]}], &#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_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;: 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [2, 0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 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&#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;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [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, 1], [1, 1], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 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, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [3, 1], [3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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;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], 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&#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, 1], [1, 1], [3, 1], [4, 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, 0]]}, 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&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 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;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#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;: 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, 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;: [[4, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 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;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], 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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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [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, 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], [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, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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, 0], [2, 0], [3, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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], [2, 2], [3, 1]], [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], 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[[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#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, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#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], [0, 2], [2, 2]]}, {&#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;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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, 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{&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#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], [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], [3, 0]]}, {&#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, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 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, 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[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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], [2, 1], [4, 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;: [[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, 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1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [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;: 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1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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, 2], [2, 2], [3, 1], [4, 1], [4, 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;: 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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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#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, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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, 0], [0, 1], [1, 1], [3, 1], [4, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [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], [0, 2], [2, 2], [3, 1], [4, 2], [5, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: 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1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 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, 1], [2, 1], [3, 1], [4, 1]], [[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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [4, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 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&#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 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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], [4, 0], [5, 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, 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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], 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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, 0], [2, 0], [3, 0], [4, 0], [5, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 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[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#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, 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]], [[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], 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&#34;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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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]], [[1, 0]], [[2, 2], [3, 2]]]}}, {&#34;class_module&#34;: 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0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], &#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, 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;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#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;: [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, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 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;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 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, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [0, 1], &#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], [2, 2], [3, 2]], [[1, 1]], [[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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 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[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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, 0], [0, 2], [2, 0], [2, 2], [3, 0], [3, 2], [4, 0], [4, 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;: [[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], [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, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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, 0], [2, 0], [3, 0]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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, 0], [0, 1], [1, 1], [3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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, 0], [0, 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;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#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, 1], [0, 0], [2, 0]]}, {&#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], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 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&#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#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, 1], [0, 1], [0, 1], [2, 1]]}, {&#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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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], &#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, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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]]}, 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[3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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{&#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;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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&#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], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#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, 1], [3, 1], [4, 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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], 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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], [2, 1], [2, 2], [3, 1], [3, 2], [4, 1]], [[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], &#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;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#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;: [[1, 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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 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], [5, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#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, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#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, 1], [0, 0], [2, 0]]}, {&#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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [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], [0, 2], [2, 2], [3, 1], [4, 2], [5, 2], [6, 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;: [[1, 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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 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, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}], &#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;: 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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&#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [1, 2]], [[2, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 1], [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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, 1]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 1], [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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, 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, 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, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], 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0], [0, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 0]]}], &#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, 1], [0, 2], [1, 1], [1, 2], [3, 1], [3, 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, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, 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1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [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, 3], [1, 0], [1, 1], [2, 3], [4, 3]], [[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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [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], [0, 1], [2, 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;: [[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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 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, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 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{&#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], [0, 0], [2, 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], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 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&#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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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{&#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;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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, 1], [3, 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], [0, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: 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2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#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_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;: 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, 0]]}, 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&#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}], &#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;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;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 1], [1, 1], [3, 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;, 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&#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#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;: 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[2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 1], [3, 1]], [[1, 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, 0]]}, {&#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;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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], 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[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#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;: 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3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 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, 1], [1, 1], [3, 1], [4, 1], [5, 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, 0]]}, {&#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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [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, 2], [1, 0], [2, 0], [2, 2], [3, 2], [4, 0], [5, 2], [7, 2]], [[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;: 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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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 1], [0, 1], [4, 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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#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], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [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], &#34;pos&#34;: [[0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 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[1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}], &#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;: 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, 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;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], 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[[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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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, 1], [1, 0], [1, 1], [2, 0], [2, 1], [4, 0], [4, 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;: 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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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 0], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [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;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, 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, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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;: [], &#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;: [[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, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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, 2], [0, 2], [0, 2], [3, 2]]}, {&#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [0, 1], [3, 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], [3, 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, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [3, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 2]]}, {&#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, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [[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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, 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[[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#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, 2], [3, 2]]}, {&#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[0, 0], [1, 1], [2, 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;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#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, 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, 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, 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, 1], [0, 0], [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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 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, 1], [0, 2], [2, 1], [2, 2], [3, 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;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, 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1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0], [3, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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, 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;: [2, 0, 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], [3, 1], [4, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], 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[4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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, 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, 1], [2, 1], [4, 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, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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_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, 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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#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, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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;: [2, 0, 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;: [2, 0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 3]], [[2, 0]], [[3, 1]], [[4, 2], [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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [5, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [5, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 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;, &#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, 4], [3, 2], [3, 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;: [[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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 1]]}, {&#34;patt&#34;: 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2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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, 1], [0, 2], [1, 1], [1, 2], [3, 1], [3, 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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 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.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], [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;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 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, 1], [2, 1]]}, {&#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, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [2, 0], [3, 2], [5, 2], [6, 2]], [[4, 1]]]}}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 2], [2, 0], [3, 0], [4, 2], [6, 2]], [[5, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 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], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 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], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 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[[0, 1], [0, 2], [5, 1], [5, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 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&#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], [3, 1], [4, 1], [5, 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, 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;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [6, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [6, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [6, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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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;: [[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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], 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1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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], [1, 1], [2, 1], [3, 1], [5, 1]], [[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;: [[0, 2]]}, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 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4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [1, 1], [2, 0], [4, 0], [4, 1], [5, 1], [6, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#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, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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;: true, &#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], 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[0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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[1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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], &#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;: [[2, 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2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 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, 1], [0, 2], [1, 0], [1, 2], [3, 2], [4, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: 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0], [2, 0], [2, 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;: [[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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 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, 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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#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, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], &#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, 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;: [[4, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 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, 2], [4, 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], [2, 2], [4, 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, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 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], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 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;: [[2, 1], [3, 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, 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], [1, 1], [3, 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, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 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], [0, 1], [3, 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;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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, 2], [2, 2], [3, 2], [4, 0], [4, 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;: [[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;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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], [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;: [[1, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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, 0], [0, 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;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#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;: [[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;: [[3, 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;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [1, 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, 2], [3, 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], [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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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, 3], [1, 3], [2, 1], [2, 3], [4, 2], [4, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 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;: [[1, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 0]]}, {&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [4, 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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [4, 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, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 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, 0], [3, 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;: [[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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 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, 1], [2, 1], [3, 1], [4, 1]], [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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;: [[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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 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;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 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, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 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], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}], &#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;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [[2, 0]]}, {&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 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1], [1, 1], [5, 1], [5, 1], [5, 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], &#34;pos&#34;: [[0, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}], &#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.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;: [[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], &#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [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, 1], [0, 3]], [[1, 0], [3, 0], [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;: [[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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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], [2, 1]], [[1, 0], [3, 0], [4, 0], [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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 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], [0, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 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;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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;: [2, 0, 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], [3, 1], [3, 2], [4, 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;, 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&#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], [0, 2], [4, 1]]}, {&#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, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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, 2], [4, 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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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], [3, 0], [4, 1], [4, 3], [5, 1], [5, 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;: [[1, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 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, 1], [4, 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], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 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], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, 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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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 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[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [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, 2], [1, 0], [2, 0], [2, 2]], [[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;: [[1, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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;: [2, 0, 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, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 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, 0], [4, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [4, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [4, 0], [4, 0], [4, 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], [1, 0], [3, 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], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 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, 1], [2, 1], [4, 1], [5, 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, 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;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: 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[[1, 4], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [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, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 1], [5, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 2], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#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, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#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, 4], [0, 3], [2, 3]]}, {&#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;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 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;: [[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, 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], &#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [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]]}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [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, 0], [0, 2], [1, 2], [2, 0], [4, 2], [5, 2]], [[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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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, 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, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 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[0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: 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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [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, 0], [3, 1], [4, 1], [5, 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, 0]]}, {&#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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], 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&#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#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;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 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], [1, 1], [2, 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;: [[1, 0], [1, 1], [1, 1]]}, 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[[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [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, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: 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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [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;: 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}], &#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;, 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&#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 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, 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, 1], [3, 1], [5, 1]], [[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, 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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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;: [[6, 0]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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], [1, 0], [2, 2], [3, 2], [5, 2], [6, 2]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#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, 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, 0], [3, 2], [4, 0], [5, 2], [6, 2], [7, 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;: [[1, 1]]}, {&#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, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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, 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], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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.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;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 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, 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, 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], 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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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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], [2, 0], [3, 0], [5, 0], [6, 2]], [[4, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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[[0, 0], [0, 0], [1, 0], [1, 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;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 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[[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}], &#34;requirements&#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;: [[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], &#34;pos&#34;: [[0, 0]]}, {&#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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], 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&#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}], &#34;requirements&#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;: [[4, 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;: [[1, 0]]}, {&#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;: [[3, 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1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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;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;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 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;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [4, 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, 1], [1, 1], [2, 1], [4, 1], [5, 1]], [[3, 0]]]}}, {&#34;class_module&#34;: 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3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 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, 1], [1, 1], [2, 1], [3, 1]], [[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;: [[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], 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1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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;: [], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#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;, 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1], [0, 1], [4, 1], [4, 1], [4, 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;class_module&#34;: &#34;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, 2], [3, 0], [4, 0], [4, 2], [5, 0], [5, 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;: 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&#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, 2], [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, 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, 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, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#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, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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;: [2, 0, 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, 3], [2, 1], [2, 3], [4, 1], [4, 3]], [[1, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 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;: [[4, 0]]}, {&#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;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[2, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], 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1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#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, 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;: [[2, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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;: [[1, 1], [1, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#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, 2], [1, 2], [1, 1]]}, {&#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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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], &#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], [1, 2], [2, 1], [2, 2], [4, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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;: [2, 0, 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, 3], [3, 2], [3, 3], [4, 2], [4, 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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [], &#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 0], [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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 1], [0, 1], [3, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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, 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, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 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[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 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_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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 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;children&#34;: [{&#34;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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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, 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, 1], [3, 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, 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, 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], &#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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [2, 0, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [2, 1], [4, 1]], [[1, 2]], [[3, 3]], [[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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 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, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}], &#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_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;: 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, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 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[1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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;: [{&#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 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, 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;: [], &#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;: [[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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}], &#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], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}], &#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;: [{&#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, 1]]}, {&#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], &#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;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 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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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 1], [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, 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, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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, 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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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;: [2, 0, 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, 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;: [[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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 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, 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.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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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, 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;: [2, 0, 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, 0], [3, 0], [3, 3]], [[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;: [[0, 0]]}, {&#34;patt&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 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;: [[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;: [[3, 0]]}, {&#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, 1]]}, {&#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;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 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], [1, 2], [2, 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], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [1, 1], [2, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 1], [1, 1]]}, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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.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;: [[1, 1]]}, {&#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, 3, 2], &#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 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], &#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], &#34;pos&#34;: [[4, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, 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0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: 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2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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], [1, 3], [2, 0], [2, 1], [3, 3], [5, 3]], [[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;, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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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2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: 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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, 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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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, 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, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 1], [1, 0], [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, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [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, 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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [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, 2], [0, 3]], [[1, 0], [2, 0], [3, 0], [5, 0]], [[4, 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;: [[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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: 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[0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 0], [3, 2], [3, 3], [5, 2], [5, 3]], [[4, 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, 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, 3]]}, {&#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;: [[0, 3], [0, 3], [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, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 2], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [3, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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], &#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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[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;: [2, 0, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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.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, 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;: [[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;: [[0, 1], [0, 1]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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[{&#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;: [[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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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[{&#34;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;: [[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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 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], [2, 0], [2, 3], [4, 3], [5, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;: 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;, 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&#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;: 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;: [[1, 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;: [[2, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 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], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 2], [6, 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], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}], &#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], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 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, 0], [4, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [4, 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, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [4, 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, 0], [4, 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;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 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3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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;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], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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], [2, 1], [3, 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, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [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], &#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, 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;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 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], &#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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 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;: [2, 0, 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, 0], [1, 0]], [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 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, 2], [0, 1]]}, {&#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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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, 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;: [[0, 1], [0, 1], [0, 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], [3, 0], [3, 0]]}, {&#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, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: 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;: 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[0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [2, 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, 0], [2, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [2, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#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;: [[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], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#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], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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, 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, 2], [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, 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, 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;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 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[[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 0], [3, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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.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], [3, 2]]]}}, 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[2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 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&#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, 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;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [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, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 0], [2, 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, 1], [1, 1], [2, 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, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 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2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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, 2], [0, 3], [1, 3], [2, 0], [2, 3], [4, 0], [4, 3]], [[3, 1]]]}}, {&#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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[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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[2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#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, 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, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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, 1], [2, 1], [2, 2], [4, 1], [4, 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, 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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 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{&#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;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#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], [0, 2], [1, 1], [1, 2], [3, 1], [4, 1], [4, 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], 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[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#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, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [4, 1]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [0, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 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[[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[1, 1], [1, 1], [1, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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, 0], [0, 1], [1, 0], [1, 1]], [[2, 2]]]}}, 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[2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [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;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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[0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#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, 2], [3, 2], [5, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#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, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [5, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#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;: [[1, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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, 0], [0, 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;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 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;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#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, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#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, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 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0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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;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, 2], [1, 2], [2, 0], [3, 2], [5, 2]], [[4, 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], &#34;pos&#34;: [[1, 1], [2, 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, 1], [2, 1]]}, {&#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, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 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1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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, 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, 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;: [[4, 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, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 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;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#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, 1], [2, 1], [3, 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, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 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[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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;: 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, 0]]}, {&#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, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [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;: [[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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], 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[[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 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&#34;pos&#34;: [[1, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 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1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [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], &#34;pos&#34;: [[1, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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.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], [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, 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, 1]]}, {&#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, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [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, 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, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#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, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], 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0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], 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[0, 1], [1, 1], [2, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 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;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [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], [0, 1], [2, 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, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 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, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 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;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 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[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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[3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [1, 1], [2, 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, 1], [4, 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, 1], [4, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [4, 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, 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], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [4, 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], [2, 1], [4, 1]]}, {&#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], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 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, 1], [3, 1]]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#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, 3], [1, 0], [3, 0], [4, 1], [4, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#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, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 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, 0]]}, {&#34;patt&#34;: 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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], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 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, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], 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1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 1], [1, 3], [2, 0], [2, 1], [4, 1], [5, 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;: [[1, 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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: 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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], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 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{&#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, 1], [2, 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, 1], [1, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 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1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 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, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 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], [1, 2], [4, 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], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [5, 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], 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4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [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, 3], [1, 3], [3, 3], [4, 0], [4, 2], [5, 3], [6, 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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, 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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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#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], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [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], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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], [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], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#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], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 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;: [[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], &#34;pos&#34;: [[5, 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, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#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, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [4, 0]]}, {&#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], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 1], [4, 0], [4, 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, 3], [3, 0], [3, 2], [4, 3], [5, 0], [5, 2], [6, 3], [7, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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]]}]}}, 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[1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2], [1, 0], [1, 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;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], 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{&#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;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 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;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 2], [5, 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], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 2], [4, 2]]}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 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], 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2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 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, 2], [1, 2], [3, 2], [4, 1], [4, 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;: [[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, 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;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [4, 1]], [[1, 0], [2, 0], [3, 0]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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[{&#34;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;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [2, 0, 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], [2, 1], [2, 4], [3, 2], [3, 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], 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1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 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, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: 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&#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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.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], [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, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1], [2, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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], &#34;pos&#34;: [[0, 0]]}, {&#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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1], [2, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}], &#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_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, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, 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[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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [2, 0, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 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]], [[1, 0], [1, 1]], [[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, 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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], 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1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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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], [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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 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, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 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, 1], [0, 2], [2, 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], [0, 2], [2, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}], &#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;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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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;: [[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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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;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;: [[1, 1]]}, {&#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;: [[4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, 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[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [2, 1], [3, 1], [4, 1]], [[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, 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;: [[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, 1], [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, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#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, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}], &#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;class_module&#34;: &#34;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], [2, 0], [2, 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, 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, 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, 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, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#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, 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&#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [2, 3], [3, 0], [4, 0], [4, 4], [5, 4], [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, 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, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 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;: [[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;: [0, 1], 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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, 0], [0, 1], [2, 1], [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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;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;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 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, 1], [0, 2], [0, 4], [1, 0], [1, 2], [2, 4], [4, 4]], [[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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 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;: [[0, 1], [0, 2], [0, 1], [1, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 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;: [[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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 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, 1], [0, 2]], [[1, 3]], [[2, 0], [2, 4], [3, 4], [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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], 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[1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#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, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 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;: &#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, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], 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1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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, 0], [0, 1], [1, 1], [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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}], [{&#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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], 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[[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 0], [1, 1], [2, 3], [4, 3], [5, 3]], [[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;: [[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;: [[3, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 2], [1, 2], [2, 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], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], 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2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 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1], &#34;pos&#34;: [[0, 1], [0, 1], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 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, 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, 4], [1, 0], [1, 2], [3, 3], [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, 1]]}, {&#34;patt&#34;: 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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, 2], [0, 3], [1, 0], [1, 2], [3, 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;: [[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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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], &#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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], 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[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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 1], [0, 0], [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, 0], [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, 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;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 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{&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#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, 1], [0, 0], [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, 0], [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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 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1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 1]]}, {&#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, 3, 2], &#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 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], [0, 1], [4, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 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;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#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;: [[3, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#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;: [[1, 1]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 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2], [0, 2], [3, 2], [3, 2], [3, 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, 0], [0, 2], [0, 3], [1, 0], [1, 2], [3, 3], [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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 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], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 0], [2, 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, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [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, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#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;: [[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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1], [2, 1], [3, 1], [3, 1], [3, 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;class_module&#34;: &#34;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], [2, 0], [2, 2], [3, 0], [3, 2]], [[4, 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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&#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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [4, 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, 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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 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, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#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, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 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, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [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, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: 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[[{&#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;: [[1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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&#34;assumptions&#34;: []}, &#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, 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, 1], &#34;pos&#34;: [[0, 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;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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], &#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;: [[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], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#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, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 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;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 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;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#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, 1], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], 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&#34;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], [4, 0], [4, 1], [5, 0], [5, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 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[2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: 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1], [0, 1], [4, 1], [4, 1], [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, 0], [0, 2], [1, 0], [2, 0], [3, 2], [5, 2]], [[4, 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, 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2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: 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[2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 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3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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, 3], [2, 1], [4, 0], [4, 3]], [[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;: [[1, 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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 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], 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[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}], &#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]]}]}}, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], 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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;: [[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;: [[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, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 3], [2, 0]]}, {&#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, 2], [1, 3], [2, 0]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 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], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#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, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#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, 3], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#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], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 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, 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;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 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], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 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0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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_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;: 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]]}, 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[0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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;: [[0, 0]]}, {&#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, 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, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 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, 3], [3, 1], [3, 3], [4, 1], [4, 3]], [[1, 2]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [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, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 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], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 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[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 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;, &#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, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 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&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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, 3]], [[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, 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, 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, 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, 4]]}, {&#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, 4], [0, 4], [0, 5]]}, {&#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, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 5], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 5], [4, 3], [4, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}], &#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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [2, 0, 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;: [2, 0, 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, 5], [4, 3], [4, 5]], [[1, 2]], [[2, 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, 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], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [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], [1, 2], [2, 0], [3, 0], [4, 2], [4, 3], [6, 2], [6, 4]], [[5, 1]]]}}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 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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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 2], [0, 4], [1, 2], [1, 4], [2, 0], [4, 0], [5, 1], [5, 4]], [[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;: [[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], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, 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[[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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, 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2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 0], [4, 0], [5, 2], [5, 3]], [[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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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], [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], [4, 1]]}, {&#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, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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, 0], [3, 0], [5, 0], [6, 2], [6, 3]], [[4, 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], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}], &#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.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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#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, 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, 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], &#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;: [[6, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 1], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}], &#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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 2], [0, 4], [6, 1], [6, 4]], [[1, 0], [3, 0], [4, 0], [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, 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, 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;: [[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, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#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, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#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;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 1], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0], [3, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#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, 5], [2, 5], [5, 5], [6, 5]], [[1, 2]], [[3, 0], [3, 3], [4, 1], [4, 4]]]}}, 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&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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, 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, 3], [1, 3], [3, 3], [5, 3], [6, 3]], [[2, 1]], [[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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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], [3, 1], [3, 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;: [[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, 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, 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, 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, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#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;: [[0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [1, 3], [6, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 2], [6, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], 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2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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;class_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, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 5], [1, 3], [6, 2], [6, 5]], [[2, 0]], [[3, 4]], [[4, 1], [5, 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;class_module&#34;: &#34;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], [2, 3], [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;: [[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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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], [4, 1], [4, 3]], [[1, 0], [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;: [[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, 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, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: 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1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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], [5, 1], [5, 3]], [[1, 0], [2, 0], [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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [2, 0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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], [4, 2]], [[1, 0]], [[2, 1], [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, 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, 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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 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, 4], [0, 5], [2, 5], [3, 4], [4, 0], [5, 0], [6, 2], [6, 5], [7, 3], [7, 5]], [[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, 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, 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], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#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;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 4], [7, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#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, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#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], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [7, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 2], [6, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 2], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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, 4], [1, 1], [5, 1], [6, 2], [6, 4], [7, 2], [7, 4]], [[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;: [[1, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 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[[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [[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]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 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;: 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, 0]]}, {&#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, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, 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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, 3], [4, 3], [5, 3], [6, 3]], [[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, 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, 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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[[{&#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;: [[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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [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, 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, 0], [2, 2], [2, 5], [4, 0], [4, 3], [4, 5]], [[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]]}, 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[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [5, 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, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [5, 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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [5, 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, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [5, 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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [5, 0]]}, 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&#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.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], [3, 3], [4, 0], [5, 0], [5, 4], [6, 0], [6, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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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;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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, 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, 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, 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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#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], [0, 2], [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, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 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;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#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], [3, 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;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#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;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#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], [3, 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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#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;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [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, 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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}], &#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, 3], [0, 4], [1, 4], [2, 1], [2, 4], [4, 2], [4, 4], [5, 2], [5, 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]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [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, 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, 3], [2, 1], [2, 3], [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, 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;: [[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, 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, 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;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [7, 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, 3], [7, 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], [7, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [7, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 2], [7, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 3], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 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, 3], [0, 4], [1, 2], [4, 2], [6, 2], [7, 3], [7, 4]], [[2, 0], [3, 0]], [[5, 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;: [[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, 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]]}, 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4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [8, 4], [8, 4], [8, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [8, 4], [8, 4], [8, 4]]}], &#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], 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2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 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, 4], [1, 2], [2, 2], [2, 4], [3, 0], [5, 0], [6, 0], [7, 0], [8, 1], [8, 4]], [[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, 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;: [[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], &#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], &#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;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [7, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [7, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [7, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 2], [7, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [6, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 1], [7, 1], [7, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 3], [7, 1], [7, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 3], [7, 1], [7, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [7, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [7, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3], [7, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [7, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 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;: [[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, 1]]}, {&#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], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 2], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 1], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [6, 3]]}, 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[[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}], &#34;requirements&#34;: [[{&#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;: 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;: [[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], &#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], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 0], [6, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [6, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, 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2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}], &#34;requirements&#34;: [[{&#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;: [[3, 0]]}, {&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 1], [0, 1], [3, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 1], [2, 2], [7, 2]], [[3, 0], [4, 0], [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, 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], &#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;: [[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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [1, 3], [6, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 2], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 4], [2, 3], [2, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [2, 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2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 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;: [2, 0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 4], [1, 3], [2, 3], [2, 4], [6, 2], [6, 4]], [[3, 0]], [[4, 1], [5, 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], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 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, 0], [4, 0]]}, 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0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[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, 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;: [[0, 7]]}, {&#34;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, 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, 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, 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, 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;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 2], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 3], [3, 7]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}], &#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, 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, 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, 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, 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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}], &#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], [1, 5], [2, 2], [2, 6], [3, 0], [3, 3], [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, 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, 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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 3], [2, 6]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 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, 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, 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;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 1], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 2], [2, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 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], &#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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 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;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 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;: [[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, 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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#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;: [[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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#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], [1, 2], [1, 4], [3, 0], [3, 3], [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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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, 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;: 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1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 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;: [[2, 2]]}]}}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, 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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;: [[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, 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], &#34;pos&#34;: [[5, 0]]}, 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[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#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, 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;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 1], [6, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 1], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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], [1, 2], [2, 0], [3, 3], [4, 0], [5, 2], [5, 3], [7, 2], [7, 3]], [[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;: [[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, 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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], 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1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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;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, 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]]}, 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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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#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, 3]], [[2, 0], [4, 0]], [[3, 4]], [[5, 1], [5, 5], [6, 2], [6, 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, 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, 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, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 1], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 2], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: 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5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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&#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, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [2, 0, 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], &#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;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 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;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}], &#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, 3]], [[2, 0], [3, 0]], [[4, 1], [4, 4], [5, 2], [5, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 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;: [[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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 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;: [[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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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, 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;: [[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, 1]]}, {&#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;: [[2, 1], [2, 1]]}, {&#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], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 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], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 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[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 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, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#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, 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, 2], [3, 0], [4, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, 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[0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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&#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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;: 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, 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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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#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;assumptions&#34;: []}, &#34;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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: 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[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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, 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;: [2, 0, 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, 1], [1, 1], [3, 1], [4, 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, 0]]}, {&#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, 1], [0, 1], [1, 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;: [[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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 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;: [[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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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;: 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0], [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, 3], [2, 3], [3, 0], [3, 2], [4, 0], [4, 2], [5, 3], [6, 3], [7, 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, 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;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 3], [1, 0], [2, 0], [4, 0], [5, 3]], [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [1, 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, 1], [5, 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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 2], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 2], [5, 1], [5, 2]]}, {&#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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [5, 2], [5, 1], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 1], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 2], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 2], [5, 1], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 1], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 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[[1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 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;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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], [4, 1], [4, 4], [5, 2], [5, 4]], [[1, 0], [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;: 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[[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 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[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 3], [1, 0], [3, 0], [4, 0], [5, 1], [5, 3], [6, 1], [6, 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;: 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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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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], [0, 2], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 2]]}, {&#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], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, 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2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#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.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;: [[5, 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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4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: 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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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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], [3, 1], [3, 2], [4, 1], [4, 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, 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]]}, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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;: [2, 0, 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], [5, 2], [5, 4]], [[1, 0], [2, 0], [3, 0]], [[4, 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], 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[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 3], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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], &#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;: [[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, 1]]}, {&#34;patt&#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;: [[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, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [5, 1]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [4, 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, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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, 3], [1, 4], [3, 1], [3, 4], [4, 2], [4, 4], [5, 4], [6, 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, 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;: [[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, 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0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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], &#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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 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;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 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], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 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], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], 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2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [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, 3], [1, 3], [3, 3], [4, 0], [4, 2], [5, 3], [6, 3], [7, 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, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 1]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 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[[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [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.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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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;: [[5, 0]]}, 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[{&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 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, 0], [3, 0]]}, {&#34;patt&#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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, 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&#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [3, 2], [4, 2], [5, 2]], [[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, 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;: [[2, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [5, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: 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[[{&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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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, 2], [1, 2], [2, 2], [4, 2], [5, 2]], [[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, 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;: 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&#34;obstructions&#34;: [{&#34;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, 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;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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], [3, 3], [4, 0], [4, 2], [5, 0], [5, 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;: [[1, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, 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3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0], [3, 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;: [[1, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], 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0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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;: 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [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;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}], &#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_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;: [[1, 0]]}, {&#34;patt&#34;: [0], 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[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 2], [3, 2]], [[2, 0], [4, 0], [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, 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]]}, 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[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [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, 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;: 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[[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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], 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3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 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;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [4, 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, 2], [2, 1]], [[3, 0], [4, 0], [5, 0], [6, 0], [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;: [[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], &#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, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#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, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 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, 2]], [[2, 0], [3, 0], [4, 0], [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;: [[1, 1]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1]]}, 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[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#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, 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, 0], [4, 0], [5, 0], [5, 2], [5, 3]], [[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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: 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[1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}], &#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, 3], [0, 4], [2, 0], [2, 2], [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, 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, 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, 2]]}, {&#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;: [[0, 2], [0, 2], [0, 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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], 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&#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 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;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}], &#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;: [2, 0, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: 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2], [0, 2], [7, 2], [7, 2], [7, 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, 3], [3, 2], [4, 0], [5, 0], [6, 2], [6, 3], [8, 2], [8, 3]], [[7, 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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[{&#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;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 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], [1, 1], [2, 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], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, 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2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 2], [1, 3], [2, 0], [4, 3], [5, 0], [5, 2], [6, 2], [7, 3], [8, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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;: [[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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [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;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 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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, 3], [0, 5], [1, 3], [1, 5], [2, 0], [4, 0], [5, 1], [5, 5], [6, 2], [6, 5], [7, 5], [8, 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, 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;: [[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, 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, 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;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 0], [5, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#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;: [[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;: [[1, 0]]}, {&#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, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}], &#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, 4], [1, 1], [1, 2], [2, 4], [4, 4], [5, 0], [5, 4]], [[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, 0]]}, {&#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, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}], &#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, 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, 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;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}], &#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, 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, 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, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, 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[3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}], &#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, 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, 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, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 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1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [2, 3], [3, 3], [4, 0], [4, 3]], [[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;, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}], &#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, 3], [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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 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;: [[1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}], [{&#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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#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, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#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, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#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, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}], &#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.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, 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;: [[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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 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], [2, 1], [4, 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;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], 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0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [3, 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], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [3, 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], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 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, 0], [3, 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], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 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], [1, 0], [3, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [3, 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;: [[1, 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;: [[2, 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, 1]]}, {&#34;patt&#34;: [0], 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2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 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0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [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], &#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, 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;: [[3, 2]]}, {&#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 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], [1, 2], [4, 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], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [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.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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 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], [3, 2], [4, 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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], 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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], [1, 2], [3, 2], [4, 2]], [[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, 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;: [[2, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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, 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, 3], [2, 3], [4, 3], [5, 3]], [[1, 0]], [[3, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], 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3], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [5, 4]]}, {&#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, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: 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&#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, 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, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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], [0, 3]]}, {&#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, 2], [0, 2], [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, 1], 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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, 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;: [[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], &#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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 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1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 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, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [4, 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], [0, 1], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 0], [4, 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], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [4, 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], [0, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3], [2, 0], [4, 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, 4]], [[2, 0], [2, 1], [3, 2], [4, 0], [4, 3], [5, 3], [6, 0], [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, 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]]}, 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3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [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, 1], [0, 3], [0, 4], [1, 0], [3, 4], [4, 0], [5, 4], [6, 1], [6, 3], [7, 4], [8, 4]], [[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;, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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, 3], [3, 3], [4, 1], [4, 2], [5, 3], [6, 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, 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, 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, 0]]}, {&#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]]}, 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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, 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, 0]]}, {&#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;: [[5, 0]]}, {&#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], [1, 0]]}, {&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#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, 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, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [3, 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;: [[4, 3], [4, 3], [5, 3]]}, {&#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, 0], [2, 0], [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;: [[4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 2], [3, 1], [3, 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1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 2], [2, 1], [2, 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, 3], [4, 3], [5, 3]], [[1, 0], [2, 0], [2, 1], [2, 2], [3, 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;: 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{&#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], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 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, 1], [0, 0], [1, 0]]}, {&#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;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#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], [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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], 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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, 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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, 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[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 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], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 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3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [2, 3], [3, 3], [4, 0], [4, 3]], [[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;: [[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;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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, 2], [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;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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_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], &#34;pos&#34;: [[2, 2]]}, {&#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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 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[[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;: 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, 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, 1]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#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, 1], [0, 2], [0, 3], [2, 3], [3, 1], [3, 2], [4, 3]], [[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, 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, 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, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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, 1], [0, 1], [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, 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, 1], [0, 3], [0, 3]]}, {&#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, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#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;: [[1, 3], [2, 1], [2, 0]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 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, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], 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2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#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;: [[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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], 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[0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 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1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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], [1, 0], [2, 1], [3, 3], [5, 3]], [[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, 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, 0]]}, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#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, 0], [0, 1], [0, 3], [1, 1], [3, 1], [4, 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;: 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&#34;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], [3, 3], [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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, 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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, 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, 1]]}, {&#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, 2]]}, {&#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, 2]]}, {&#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, 3], [5, 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1], &#34;pos&#34;: [[0, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [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;strategy&#34;: {&#34;class_module&#34;: &#34;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], [3, 2], [4, 2], [5, 4], [7, 4]], [[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]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 0], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1], [4, 1], [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, 2], [0, 4], [1, 1], [2, 0], [4, 0], [4, 1], [5, 0], [5, 1], [6, 2], [6, 4], [7, 2], [7, 4]], [[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;: [[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], &#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], &#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;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 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;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [5, 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;: [[4, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 0], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[4, 0], [4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[4, 1], [4, 1], [6, 1], [6, 1]]}, {&#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, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [6, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [7, 4], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [7, 4], [7, 2], [7, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [6, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [7, 4], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [7, 4], [7, 2], [7, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [5, 1], [5, 1], [6, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [7, 4], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [7, 4], [7, 2], [7, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 1], [4, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1], [4, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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, 1], [2, 0], [4, 0], [4, 1], [5, 1], [6, 1], [7, 2], [7, 4]], [[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], 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[4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [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, 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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [6, 2], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [6, 2], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [3, 1], [4, 1]]}, {&#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, 1], [4, 0]]}, {&#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, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 0], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 0], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [6, 2], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [6, 2], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 2], [6, 2], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 3], [6, 2], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [6, 2], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 2], [6, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3]]}, {&#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], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2], [6, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [5, 3], [5, 2], [5, 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[1, 0]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#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;: 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0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 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], &#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, 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;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 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;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 2], [1, 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;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [4, 1]]}, 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[0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 0]]}], &#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;: [[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;: [[2, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 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, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [5, 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], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 0]]}], &#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;: [[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, 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, 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, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], 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[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[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, 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, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [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;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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, 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], &#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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], &#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, 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, 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, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#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;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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, 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, 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, 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, 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;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 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;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 3], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [5, 3], [6, 3]]}, {&#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], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 3], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [5, 3], [6, 3]]}, {&#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, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 3], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 3], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 3], [5, 3], [6, 3]]}, 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 0], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1], [4, 0], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1], [4, 1], [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, 2], [0, 4], [1, 1], [2, 0], [4, 0], [4, 1], [5, 0], [5, 1], [6, 2], [6, 4], [7, 2], [7, 4]], [[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;: [[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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#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, 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, 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]]}, 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1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#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;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#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, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#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, 1], [0, 0], [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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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, 2], [0, 3], [3, 2], [3, 3], [4, 2], [4, 3]], [[1, 0], [1, 1], [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;: [[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, 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, 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, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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;: [[2, 0], [2, 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;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 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&#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, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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, 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, 4], [1, 4], [4, 4], [6, 4], [7, 4]], [[2, 2]], [[3, 0]], [[5, 1], [5, 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;, 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[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 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, 2], [0, 3], [4, 2], [4, 3]], [[1, 0], [1, 1], [2, 1], [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, 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, 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, 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, 3]]}, {&#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, 3], [0, 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;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 3], [0, 4], [0, 4]]}, {&#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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [1, 1], [2, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 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.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], [5, 2], [5, 4]], [[1, 1], [2, 0], [2, 1], [3, 1], [4, 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, 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, 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, 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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [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, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 2], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [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;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}], &#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;class_module&#34;: &#34;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;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;class_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, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 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], [5, 2], [5, 4]], [[1, 0], [2, 0]], [[3, 1], [4, 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], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 2], [0, 2], [3, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#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], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 1], [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, 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[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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], [4, 2], [4, 4]], [[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, 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], 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&#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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], [0, 3], [5, 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{&#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 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;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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;: [[2, 0], [2, 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;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}], &#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;: 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, 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, 0]]}, {&#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, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [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, 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, 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;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 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2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: [2, 0, 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], [3, 1], [3, 2], [4, 1], [4, 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, 1]]}, {&#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 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;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 2], [1, 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;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [5, 1]]}, {&#34;patt&#34;: [1, 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[[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 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, 2], [2, 1], [2, 2], [4, 2], [5, 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, 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], &#34;pos&#34;: 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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, 1], [0, 3], [1, 0], [3, 0], [4, 0], [5, 0], [6, 0], [7, 1], [7, 3], [8, 1], [8, 3], [9, 1], [9, 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], 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&#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, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 2]]}, {&#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, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#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;: [[0, 1], [0, 1], [0, 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], [3, 0], [3, 0]]}, {&#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, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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], &#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, 1]]}, {&#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;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#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], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 2, 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&#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#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, 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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[0, 1], [0, 1], [0, 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], [3, 0], [3, 0]]}, {&#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, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}], &#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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [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, 2], [0, 3]], [[1, 0], [2, 0], [3, 0], [5, 0]], [[4, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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], [0, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 3], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [5, 3]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 2], [5, 2]]}, 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1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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], [4, 2]], [[1, 0], [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, 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]]}, 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2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], 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[1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 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, 2], [0, 3], [3, 2], [3, 3], [4, 2], [4, 3]], [[1, 0], [1, 1], [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;: [[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;: [[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, 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;: [[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, 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;: [[4, 5], [5, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 4], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 5], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 5], [4, 2], [4, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 3], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 5], [5, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [4, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [1, 0, 3, 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[0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [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.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], [4, 2], [4, 5], [5, 3], [5, 5]], [[1, 1], [2, 0], [2, 1], [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;: 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0]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: 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[4, 1], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 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&#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 1], [4, 0], [5, 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, 3], [3, 0], [3, 2], [4, 0], [4, 2], [5, 0], [5, 2], [6, 0], [6, 2], [7, 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, 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, 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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[[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 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, 3], [1, 3], [3, 3], [4, 0], [4, 2], [5, 3], [6, 3], [7, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], 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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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 1], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: 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;: [[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, 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;: [[5, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}], &#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;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 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], [4, 1], [4, 3], [5, 3]], [[1, 0], [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;: [[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], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, 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[[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [5, 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], [3, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [5, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [5, 0], [5, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 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;: [[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, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], 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[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#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;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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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1], [3, 0], [3, 1], [4, 0], [4, 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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [5, 2]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [3, 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, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [6, 1], [6, 1], [6, 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], [1, 0], [2, 0], [2, 2], [3, 0], [4, 0], [5, 2], [7, 2]], [[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;: [[0, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#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;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [5, 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], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [5, 2]]}, 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [6, 3], [6, 3], [6, 3]]}], &#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;: [[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;: [[3, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 2]]}, {&#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], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#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], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 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, 3], [1, 1], [2, 0], [2, 1], [2, 3], [3, 1], [4, 3], [6, 3]], [[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, 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]]}, 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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, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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;: 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;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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 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;: 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2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], 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2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 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;: 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[1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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;: 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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;: [[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, 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], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 3], [3, 1], [3, 1]]}], &#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.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;, 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[1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [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;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;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, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 0], [4, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#34;pos&#34;: [[0, 1]]}, {&#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], &#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;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [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_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;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;: 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{&#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, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}], &#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.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, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: 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2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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.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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1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#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, 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, 1]]}, {&#34;patt&#34;: 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2], [0, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [3, 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;: [[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;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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[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;: 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&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], &#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, 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;: [0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [4, 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;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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[[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;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;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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], 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[[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;: [[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, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 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0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 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;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, 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{&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [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, 2], [1, 2]]}, {&#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, 2], [0, 2], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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;: [[1, 0], [2, 2], [2, 0]]}, {&#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, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, 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[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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: 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&#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 3], [4, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#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, 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, 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, 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, 1], &#34;pos&#34;: [[0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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, 1], [4, 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], [0, 2], [4, 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, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [4, 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;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [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;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 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], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], 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&#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;: [[1, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 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, 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, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 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.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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [0, 2], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], 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[2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 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[[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [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;: 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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, 1], [1, 1], [2, 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, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 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;: 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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], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], 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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, 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, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 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], &#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, 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, 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, 3], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 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.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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 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_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, 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, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [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, 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, 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;: [[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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], 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4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 0], [3, 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;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 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[[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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&#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, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: &#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;: [[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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[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;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: 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&#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;: 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;: [[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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: 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[7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [7, 2], [7, 2], [7, 2]]}], &#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;, &#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;: [[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;: [[0, 2], [0, 2]]}, 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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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.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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 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, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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.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;, 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&#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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: 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0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[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;: 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;: [[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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[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, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 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;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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.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;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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, 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, 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;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 2]]}, {&#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, 0], [5, 0]]}, {&#34;patt&#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, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [5, 0], [5, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 0], [5, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [5, 0]]}, 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[]}], &#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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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;: [[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, 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]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#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;: [[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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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2], [0, 2], [4, 2], [4, 2], [4, 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;: 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;: 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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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;: [[0, 0], [0, 0]]}, {&#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], 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0], [0, 0], [1, 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, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [5, 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], [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;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 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[0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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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, 1]]}, {&#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, 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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#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;: [[7, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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, 0], [2, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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], [3, 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], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [7, 2]]}, {&#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, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [7, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [7, 2]]}, {&#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], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [7, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [3, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [7, 2], [7, 2], [7, 2]]}], &#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;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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.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;: [[1, 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;: [[2, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#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;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 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;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 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], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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;: [[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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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.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, 0]]}, {&#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;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#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;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, 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4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}], &#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.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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[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;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 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;: 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;: 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 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;: [[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, 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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 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;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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#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, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#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, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], 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3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#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_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;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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1], &#34;pos&#34;: [[0, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#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, 3], [0, 2], [2, 2]]}, {&#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], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], 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3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], 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3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 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, 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;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, 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, 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;: [[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, 1], [2, 2]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 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;: [[0, 2], [0, 2], [3, 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;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 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, 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, 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;: [[1, 1], [1, 1]]}, {&#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;: [[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, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 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], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 1], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 1], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 1], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2], [4, 2], [4, 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;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, 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], &#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, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 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, 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], &#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;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 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, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [3, 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;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;: [[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;: [[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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 0], [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;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 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;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [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;: [[1, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#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;, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 3], [2, 1], [2, 1]]}], &#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.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;: 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1], &#34;pos&#34;: [[2, 2], [2, 1], [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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}], &#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, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 2], [2, 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], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#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, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}], &#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, 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}}, &#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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 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;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 2], [2, 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], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1], [2, 1]]}], &#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, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], 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[1, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, 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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;: [[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;: [[2, 1]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 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, 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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 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&#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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 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_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;: 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2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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;: [[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, 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;: [[0, 0], [0, 0]]}, {&#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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [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;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 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.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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 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;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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&#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;: 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], &#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], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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.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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[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[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], 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2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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[[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[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, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 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, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 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[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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.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}, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}], &#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;: [[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], 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6], [3, 6]]}], &#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.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;: 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0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], 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1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], 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&#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], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 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, 1], [0, 0]]}, {&#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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 1], &#34;pos&#34;: [[0, 0], [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, 1]]}, {&#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;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 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, 1], [0, 0]]}, {&#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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 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, 3], [0, 2]]}, {&#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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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, 1]]}, {&#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, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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, 1], &#34;pos&#34;: [[0, 2], [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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;: [[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;: [[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;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 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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, 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, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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[[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 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;: [[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;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], 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&#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 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;: &#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;: 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0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [5, 3], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}]}, {&#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, 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], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 1], [2, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;: [[5, 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;: [[1, 0]]}, {&#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, 0], [3, 0]]}, {&#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, 1], [3, 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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [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], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;comb_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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [4, 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, 0], [4, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [4, 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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [4, 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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [4, 0], [4, 0], [4, 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, 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;: [[4, 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;: [[0, 0], [4, 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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 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&#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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;: [[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;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 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[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#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, 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], &#34;pos&#34;: [[5, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [5, 3], [7, 3]]}, {&#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, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [5, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [5, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 2], [5, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 3], [5, 3], [7, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 0], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [5, 3], [7, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 0], [5, 3], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 3], [5, 3], [7, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 3], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [5, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 3], [5, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [5, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [5, 3], [5, 0], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [5, 3], [5, 0], [7, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#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;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, 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;: [[3, 1]]}, {&#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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 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], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [5, 3]]}, {&#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], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], 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3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], 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[[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], 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2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#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;: 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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, 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[[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 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;: [[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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 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, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], 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3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 1]]}, {&#34;patt&#34;: [0], 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[5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [5, 3]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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, 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;: [[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, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 1]]}, {&#34;patt&#34;: [2, 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[5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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], &#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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 2], [5, 2]]}, {&#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, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#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;: 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[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 3], [3, 1], [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;: 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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, 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1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#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, 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, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 3]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [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, 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, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [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, 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;: [[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, 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;: [[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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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}}]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#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, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}], &#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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#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, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], 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[[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}], &#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}}]}, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 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, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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, 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, 0]]}, {&#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#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, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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;: [[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;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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 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[1, 0], [1, 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, 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;: [[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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 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], &#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [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.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, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [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], &#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, 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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 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1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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], 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0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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.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]]}, 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[2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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], &#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;: [[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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 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[0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}], &#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.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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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&#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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}], &#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;: [[1, 1]]}, {&#34;patt&#34;: 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2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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.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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 1], [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, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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, 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, 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;: [[0, 0], [0, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 0]]}, {&#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, 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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[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, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#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, 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;: [[0, 0], [0, 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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 0]]}, {&#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, 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, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[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, 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, 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, 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&#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}], &#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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 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;: [[1, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}], &#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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;: [[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;: [[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;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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1, 4, 0, 3], &#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;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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[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], &#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;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 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, 3], [0, 2]]}, {&#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;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], 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[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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;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;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [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, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#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;: [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], [3, 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], [0, 2], [3, 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, 0], [3, 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], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], 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[[{&#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;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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [0, 2], [4, 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], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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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, 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;Rule&#34;, &#34;comb_class&#34;: {&#34;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]]}, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 2], [5, 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], [0, 0], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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.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;: 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;: [[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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 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, 2], [5, 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], [0, 0], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 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, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [0, 2], [4, 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], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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], &#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, 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, 1]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 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, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#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;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 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], [0, 2], [4, 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], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 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[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;: [[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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], 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2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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&#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], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 0], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#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;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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: 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3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 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.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, 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;: [[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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 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;: [[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, 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, 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, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 1], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], 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2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}], &#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;: 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2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}], &#34;requirements&#34;: [[{&#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;: 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2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [5, 2], [5, 2], [5, 2]]}], &#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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 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;: 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], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], 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0], [2, 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], &#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]]}, 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3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 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;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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], 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 3], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 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, 1], [3, 1]]}, {&#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, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 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1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#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;: [[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;: [[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, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#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;: &#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;: [[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;: [[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, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, 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[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}, &#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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3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#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;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 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, &#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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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, 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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, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 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], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [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;: [[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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#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, 2], [2, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#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, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[2, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#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;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;: 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&#34;pos&#34;: [[5, 2], [7, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[6, 2], [7, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#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, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [6, 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;: [[1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [6, 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, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[7, 2], [7, 2], [7, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}], &#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.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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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], &#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;: [[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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1], 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1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [5, 1]]}], &#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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 1], [6, 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;: 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1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}], &#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;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;, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}], [{&#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, 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, 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, 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, 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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 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, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#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], [0, 3], [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, 3], [1, 3], [1, 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, 1], [2, 0], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [4, 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;: [[1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [4, 1], [4, 0], [4, 0]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [1, 3]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}], [{&#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, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, 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2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;: [[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;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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: 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1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [6, 2], [6, 2], [6, 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;: [[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;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]]}, 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2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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.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, 0]]}, {&#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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[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 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], &#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, 1]]}, {&#34;patt&#34;: [0], 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[[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 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.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, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0], [3, 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, 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]]}, 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#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;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;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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#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, 1], &#34;pos&#34;: [[0, 0], [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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#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;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;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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [7, 3], [7, 3], [7, 3]]}], &#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;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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, 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[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: [[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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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}}]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}, &#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, 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, 2], [1, 2]]}, {&#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;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 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;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [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;: []}, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 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[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 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[[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}], &#34;requirements&#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, 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;: [[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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 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;: [[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;: [[0, 1]]}, {&#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, 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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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, 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;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 1], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[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;: [[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, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 2], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 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, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 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], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: 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1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 4], [4, 0], [6, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], 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[[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 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;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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 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;: 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [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.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;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], 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&#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;: 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, 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, 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, 2]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [6, 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.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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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2], [0, 2], [4, 2], [4, 2], [5, 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]]}, 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[1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#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], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1]]}, {&#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, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [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;: [[3, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 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, 0]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], 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[0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, 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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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 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, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [6, 2], [6, 2], [6, 2]]}], &#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;: 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0], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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], &#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, 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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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.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;: [[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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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], [1, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 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;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 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], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 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[[3, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 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[[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;: [[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, 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;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 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, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [4, 2], [5, 2]]}, {&#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, 0], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 0], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#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.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;: [[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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#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, 1], [0, 1], [0, 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&#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#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;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 2], 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2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [2, 2], [2, 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;: [[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, 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;: 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0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#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;: [[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;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;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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, 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2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 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, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], 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[1, 2, 3, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 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&#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;: [[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, 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;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4]]}, {&#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, 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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, 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, 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, 0], [0, 0]]}, {&#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], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], 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[3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#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, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 3, 2, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 0]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 1]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 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1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 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;: 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]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1]]}, {&#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, 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3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[7, 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, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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, 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], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 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], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 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, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: 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], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 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, 0], [3, 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;: [[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], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 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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;: [[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], [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;: [[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, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#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, 2], [0, 0], [1, 0]]}, {&#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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 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, 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, 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, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#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;: [[1, 3], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#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, 3], [0, 1], [2, 1]]}, {&#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], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: 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0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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.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, 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], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#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;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#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;: [[1, 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;: [[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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#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, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#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, 1], [2, 1]]}, {&#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], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}]}, {&#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, 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, 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;: [[3, 1], [3, 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], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [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;: [[0, 1], [2, 1], [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, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[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;: [[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;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [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;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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1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], 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[0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 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{&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#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, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#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], [0, 0], [3, 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, 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[0, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, 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[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 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;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;: [[2, 1]]}, {&#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;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 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], &#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, 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[5, 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], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 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], &#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#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], [5, 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], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 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;: [[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, 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], &#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, 0]]}, {&#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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 1], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 1], [6, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 1], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4], [6, 4], [6, 4]]}], &#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;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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], 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1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [7, 3], [7, 3], [7, 3]]}], &#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.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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3], [6, 3], [6, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[3, 3]]}]}}]}, {&#34;class_module&#34;: 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{&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], 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3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: 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, 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], 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&#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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]]}]], 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&#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;: [[0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 5], [1, 3], [6, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 2], [6, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], 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5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;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;: [[2, 1]]}, {&#34;patt&#34;: [0], 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1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [5, 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], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [5, 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], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: 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[0, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 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;: [[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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 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}}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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{&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 1], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [6, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}], &#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;: 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4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3], [3, 3], [3, 3]]}], &#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;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: 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&#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 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;: [[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, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#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.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], &#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, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 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], [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], [4, 1]]}, {&#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, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 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3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], 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3], [0, 3], [4, 3], [4, 3], [4, 3]]}], &#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;: [[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;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}], &#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.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;: 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{&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], 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4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 5], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}], &#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;: [[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], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 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], [5, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 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], [5, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#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], &#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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [5, 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], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [5, 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], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2], [5, 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;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;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;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]]}, 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3], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1], [5, 1], [5, 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], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#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], [4, 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], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [5, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 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;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], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [7, 3], [7, 3], [7, 3]]}], &#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;: [[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, 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;: [[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, 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, 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, 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;: [[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;: [[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], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#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, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [3, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [3, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 1], [5, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 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5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 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;: [[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, 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, 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, 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;: [[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;: [[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], [3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#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, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [3, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [3, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 0], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 1], [5, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [7, 5]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [7, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [7, 5], [7, 5], [7, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[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, 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;: [[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, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#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, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#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;: [[3, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 5], [2, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 1], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [5, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], 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5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [6, 5], [6, 5], [6, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [[2, 5]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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;: 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[[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [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, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [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;: 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0], [3, 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;, 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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;: [[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;: [[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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], 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2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 1], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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}}]}, {&#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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[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], 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[0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 2], [0, 2], [0, 2], [2, 2]]}, {&#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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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_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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 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4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [8, 4], [8, 4], [8, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 2], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [8, 4], [8, 4], [8, 4]]}], &#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, 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{&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 4], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 3], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 4], [2, 4], [6, 4], [6, 4], [6, 4]]}], &#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;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;: [[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;: [[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], [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;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 2], [0, 2], [1, 2]]}, {&#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, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 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], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [1, 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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;: [[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], [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;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], 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1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 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;: [[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, 0]]}, {&#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;: [[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], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 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.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, 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;: [[2, 0]]}, {&#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;: [[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], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 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;: [[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;: [[0, 7]]}, {&#34;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, 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, 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, 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, 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;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 1], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 2], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 0], [3, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 3], [3, 7]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 7], [3, 7], [3, 7], [3, 7]]}], &#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.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], &#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, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 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;: [[2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 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;: [[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, 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, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 0], [3, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 3], [3, 5]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5], [3, 5]]}], &#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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 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], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#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, 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;: [[3, 2]]}, {&#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 3]]}, {&#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, 0], [3, 3]]}, {&#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;: [0, 1], 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0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#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;: [[5, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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1], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#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;: [[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], &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [5, 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5]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, 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3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 2], [4, 0], [4, 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;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;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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [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], &#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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}], &#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;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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#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], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;: 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[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.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, 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, 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, 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&#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, 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;: [[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;: [[7, 0]]}, {&#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;: [[8, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[8, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[8, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#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;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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 1], [0, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#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, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#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, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], 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0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2], [2, 0], [2, 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.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;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, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 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1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [4, 1], [4, 0], [4, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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;: [[2, 3], [2, 3]]}, 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[[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;: [[2, 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;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 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[1, 0, 2], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [3, 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], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [5, 0], [5, 0]]}, {&#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;: [[1, 0], [1, 0], [1, 0], [3, 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], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [4, 0]]}, 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{&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0], [3, 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [4, 0], [4, 0], [5, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 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[0], &#34;pos&#34;: [[4, 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, 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;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], 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4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4], [3, 4], [3, 4]]}], &#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.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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[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 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], &#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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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;: [[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, 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, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], 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3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [7, 3], [7, 3], [7, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [8, 3], [8, 3], [8, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#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.row_and_col_separation&#34;, 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[[0, 2], [6, 2], [6, 2], [6, 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;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 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[[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], 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1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [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.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;: 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&#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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 0], 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}], &#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, 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, 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], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [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, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}], &#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.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;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, 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, 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], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [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, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 0], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}], &#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;: [[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;: [[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, 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, 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;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 0], [5, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], 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4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#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;: [[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, 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, 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;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], 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[[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 2]]}, 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&#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 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;: [[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, 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, 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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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, 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, 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 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], [2, 1], [4, 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;: [[2, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#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, 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;: [[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, 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, 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, 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;: [[0, 0], [0, 0]]}, {&#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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [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;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#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, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [2, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 4], [6, 4]]}, {&#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, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [4, 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;: [[2, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[5, 4], [5, 4], [6, 4]]}, {&#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, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[5, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[5, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 1], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 4], [2, 3], [2, 0], [2, 3]]}, 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4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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_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]]}, 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 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;: 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, 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;: [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;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 0], [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], &#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, 2]]}, {&#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;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 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, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 0], [2, 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;: [[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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[0, 0], [1, 1], [2, 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;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], 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[[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;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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [1, 0], 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3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#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, 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, 0]]}, {&#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, 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, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 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], [0, 2], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [4, 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;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 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], &#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, 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, 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, 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;: [[6, 0]]}, {&#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;: [[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, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 3], [5, 3]]}, {&#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;: [[5, 3], [5, 3]]}, {&#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, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [3, 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], [4, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], 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4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}], &#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;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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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&#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, 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, 1, 2], 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1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 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;: [[0, 1], [0, 2], [0, 1], [1, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#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, 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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[0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [4, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 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], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, 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&#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 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;: [[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, 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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 1]]}, {&#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, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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, 1], [0, 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, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 0], [2, 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, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [3, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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, 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]]}, 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [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;: [[1, 1]]}, {&#34;patt&#34;: [0], 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0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;patt&#34;: [0], &#34;pos&#34;: [[1, 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], &#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;: [[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], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#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;: [[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;EquivalencePathRule&#34;, 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1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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_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;: [[0, 0], [0, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [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, 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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 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, 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;: [0], &#34;pos&#34;: [[3, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 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, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 0], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [2, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [2, 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, 2], [5, 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], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 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;: [[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, 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, 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, 3]]}, {&#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, 4]]}, {&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 3]]}, {&#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, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [4, 4]]}, {&#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;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 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, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4]]}, {&#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, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [3, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [4, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [3, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [4, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [4, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[4, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[6, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [7, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[6, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 1], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[6, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [6, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [7, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [6, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [7, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [7, 4]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[6, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[6, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[6, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[7, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [6, 4], [6, 4], [6, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}], &#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.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, 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, 3]]}, {&#34;patt&#34;: [0], 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0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [7, 4], [7, 4], [7, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 4], [1, 4], [8, 4], [8, 4], [8, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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;: [[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, 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], 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{&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 1], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1], [3, 1], [3, 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, 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, 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, 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, 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, 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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[6, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 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;: [[2, 0], [2, 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;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], 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[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [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, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [5, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 3, 0], &#34;pos&#34;: [[2, 0], [2, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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[4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 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.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, 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, 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, 1], &#34;pos&#34;: [[0, 2], [5, 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, 2], [0, 2], [0, 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, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 2], [0, 3], [0, 3]]}, {&#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], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 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2], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [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;: [[5, 2]]}, {&#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;: [[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, 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, 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, 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&#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [5, 4], [5, 4], [5, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [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;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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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0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [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;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [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], &#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, 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, 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], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}], &#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, 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&#34;pos&#34;: [[4, 2]]}, {&#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, 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;: [[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, 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, 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;: [[0, 3], [0, 3], [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, 3], [0, 4], [0, 4]]}, {&#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, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 4], [4, 2], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [4, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 4], [4, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], 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[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 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;Rule&#34;, &#34;comb_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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3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 2], [5, 1], [5, 1], [5, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [5, 1], [5, 1], [5, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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}}]}, {&#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, 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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], 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1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [5, 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], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, 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1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}], [{&#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;: [[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, 1]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 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[5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [4, 1]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}], [{&#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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[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;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 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, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [6, 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], [3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [6, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 2], [6, 2], [6, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#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], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [4, 1]]}, {&#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;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}], [{&#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;: [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 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;: [[1, 1], [1, 2], [5, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [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, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [5, 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, 1]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#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;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], 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3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#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, 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[]}], &#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;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;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, 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&#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.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;: 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, 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;: [[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;: [[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, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [5, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [5, 3]]}, 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3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}], &#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, 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, 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], 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[[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 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], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [3, 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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#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], &#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;: [[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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [6, 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;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [3, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, 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1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 0], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[3, 0], [3, 2], [3, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2], [3, 0], [3, 0]]}], &#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], &#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;: [[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;: [[6, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 3]]}, {&#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;: [0, 1], &#34;pos&#34;: [[3, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 3], [6, 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;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 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[[6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [3, 3]]}, 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2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[4, 0], [4, 2], [4, 2], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[4, 0], [4, 0], [4, 2], [4, 0], [4, 0]]}], &#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;: [[1, 0]]}, {&#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;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 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, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}], &#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;: [[1, 0]]}, {&#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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#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;: [[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;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 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[2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [2, 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, 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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 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[{&#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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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{&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2], [3, 2], [4, 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, 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, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 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], [2, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[4, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [3, 1]]}, {&#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], [4, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 0, 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2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [4, 2], [4, 2], [5, 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, 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}}]}, {&#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;: 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2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 2], [0, 3]]}, 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[[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;: [[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, 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1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 5], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 5], [0, 5], [4, 5], [4, 5], [4, 5]]}], &#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.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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1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#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;: [[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;: [[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;: [[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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], 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&#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#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;: [[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, 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;: [[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;: [[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;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 0]]}, {&#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], [3, 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], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [3, 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], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#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, 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], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#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;: [[2, 1], [2, 1]]}, {&#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], [4, 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], [0, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [4, 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], [4, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[4, 2], [4, 2], [4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}], [{&#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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, 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, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], 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{&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 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{&#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;: [[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, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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, 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, 1], [0, 1], [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, 1]]}, 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [5, 3], [5, 3], [5, 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], &#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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[6, 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;: [[5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#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, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 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, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [4, 3], [6, 3]]}, {&#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], [4, 3], [6, 3]]}, {&#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, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3]]}, {&#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, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 1], [4, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 1], [6, 3]]}, {&#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, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [6, 3], [6, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [4, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [6, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [6, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [4, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[2, 3], 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{&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [6, 3], [6, 3], [6, 3]]}], &#34;requirements&#34;: [[{&#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;: 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&#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#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, 2], [0, 2], [3, 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, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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_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;: 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, 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;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#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, 2], [0, 2], [3, 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, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[3, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 4, 1, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 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[[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 2], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 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.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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2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 4, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 4, 3, 0, 2], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4], [2, 4], [2, 4]]}], &#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;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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