01342_01432_03142_03412_03421_04132_04312_04321_40132_40312_40321<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 109, 522, 2565, 12796, 64493, 327498, 1672550, 8579582, 44162889, 227951798, 1179198030, 6110928112, 31714900363, 164795231744, 857162810976, 4462201078202, 23245843132313, 121172902000916, 631963044384239, 3297404944197050, 17211590612979901, 89870211628171376, 469394397874084368, 2452288607865528072, 12814547638927387825, 66976339092519966830, 350119234217329938613, 1830536257033009911476, 9571962791202726424589, 50058454170770289851470, 261819457977822941699936, 1369523366081168316957226, 7164330416195581647663753, 37481461220370797528650752, 196105027104639160625402025, 1026098843043125865674786886, 5369269674004256728728521113, 28097285925291261264813656912, 147039665208978198588401676940, 769526700272684304501409553996, 4027450472474444808360246886853, 21079121211412687148323232161432, 110328871984723001569287869082650, 577482706762972890498058613062966, 3022739946154940176176815849848623, 15822443761191692936299778022702738, 82824034888753751861300457258153750, 433559210268513495985733691564316932, 2269597779260581291669926563120176309, 11881113287443376296106953568925220458, 62197439386923192616735217687837890503, 325607523878194329969537465119116388692, 1704599646207726365752320221415770848241, 8923925105946819920603434153564167111582, 46719110528322246554433348915058677962774, 244589575739609982328097865432067815125998, 1280517998855770600342385370637001317668481, 6704053378269864084212953116862275822263862, 35098856483726465739939258260357590029794526, 183760396415456651728871164897611517148707184, 962086368683478536683982558194661403326226691, 5037083592758147321360874530337503095546539072, 26372238362472680439243771084873641225184022312, 138075735099366824878788782989782840498663747178, 722919748851399713872708770271610655572877681065, 3784992277993345437463961991846212145985118208992, 19817183640842742767166093264631511650341448571417, 103757799581070656689190047203121809003117952722806, 543251984881185340550271549566220767513787241630297, 2844353153383385015236973650667043008338608040598864, 14892486852497242042096385651236490090313388135616052, 77974453763639040353602464024255310131528265225073436, 408261819605750104027645765500101530279375958432487901, 2137599861101456981427361121885978020594799498956703700, 11192193103982415760137940058036457793868213321585828388, 58601001141493290520131300823887209355166075547107700866, 306828617775609843317326061938442628645848039808485181491, 1606525458379297753215811915322833345952557700576311958562, 8411631124368076320895322592586420498215491401250019087026, 44042668816112205913435485284226618113169478377778507558304, 230604503236861220301508516442585787891259445059578247368621, 1207431880273446816850312249045720734198235062523566665028542, 6322053188663067407120642269991019300343647787865004099852567, 33102002071125659541562837883739698308558726217036728518888208, 173320904662354210061138678477885067391144558080093806859056905, 907503200352133368504471875345144039332383078128326288961615842, 4751665728229190755686293631329979683322608462015559063281908882, 24879638320979146649628291211223942720020838301473485299972728106, 130269480068796973725590228286336891283042784536092758848214470157, 682090034753733743981582749774676259812497061011204135863377453424, 3571421518354766560151457058886926431310189389045544192015108046927, 18699968486625369825429889083525285760603943500425393781315611456866, 97913138792049190575732118579317311781578921242791885978975836608341, 512674108177260759480266585598132414231838398941107914753345773896940, 2684368228385539595820456644611768704513755456351427033490201616713518, 14055395497254647048703993508049815922021196171945036719674769633918596<br /><br />


Generating function in Maple syntax:<br />
((-10*x^4+38*x^3-48*x^2+19*x-2)*(5*x^2-6*x+1)^(1/2)+8*x^6-70*x^5+248*x^4-404*x^3+303*x^2-97*x+10)/(16*x^6-112*x^5+304*x^4-402*x^3+266*x^2-80*x+8)<br /><br />



Generating function in latex syntax:<br />
\frac{\left(-10 x^{4}+38 x^{3}-48 x^{2}+19 x -2\right) \sqrt{5 x^{2}-6 x +1}+8 x^{6}-70 x^{5}+248 x^{4}-404 x^{3}+303 x^{2}-97 x +10}{16 x^{6}-112 x^{5}+304 x^{4}-402 x^{3}+266 x^{2}-80 x +8}<br /><br />



Generating function in sympy syntax:<br />
(8*x**6 - 70*x**5 + 248*x**4 - 404*x**3 + 303*x**2 - 97*x + sqrt(5*x**2 - 6*x + 1)*(-10*x**4 + 38*x**3 - 48*x**2 + 19*x - 2) + 10)/(16*x**6 - 112*x**5 + 304*x**4 - 402*x**3 + 266*x**2 - 80*x + 8)<br /><br />



Implicit equation for the generating function in Maple syntax:<br />
(4*x^2-6*x+1)*(x-1)^2*(-2+x)^2*(2*x-1)^2*F(x)^2-(x-1)*(2*x-1)*(8*x^6-70*x^5+248*x^4-404*x^3+303*x^2-97*x+10)*F(x)+4*x^8-48*x^7+218*x^6-580*x^5+875*x^4-733*x^3+330*x^2-73*x+6 = 0<br /><br />



Implicit equation for the generating function in latex syntax:<br />
\left(4 x^{2}-6 x +1\right) \left(x -1\right)^{2} \left(-2+x \right)^{2} \left(2 x -1\right)^{2} F \! \left(x \right)^{2}-\left(x -1\right) \left(2 x -1\right) \left(8 x^{6}-70 x^{5}+248 x^{4}-404 x^{3}+303 x^{2}-97 x +10\right) F \! \left(x \right)+4 x^{8}-48 x^{7}+218 x^{6}-580 x^{5}+875 x^{4}-733 x^{3}+330 x^{2}-73 x +6 = 0<br /><br />







  
    Recurrence in maple format:<br />
    
      a(0) = 1<br />
    
      a(1) = 1<br />
    
      a(2) = 2<br />
    
      a(3) = 6<br />
    
      a(4) = 24<br />
    
      a(5) = 109<br />
    
      a(6) = 522<br />
    
      a(7) = 2565<br />
    
      a(8) = 12796<br />
    
      a(9) = 64493<br />
    
      a(10) = 327498<br />
    
      a(11) = 1672550<br />
    
    a(n+10) = -100*(n+1)/(n+10)*a(n)+20*(77+45*n)/(n+10)*a(n+1)-48*(179+72*n)/(n+10)*a(n+2)+1/2*(48605+14757*n)/(n+10)*a(n+3)-1/2*(78991+19159*n)/(n+10)*a(n+4)+3/2*(25911+5203*n)/(n+10)*a(n+5)-1/4*(94079+16001*n)/(n+10)*a(n+6)+5/2*(3464+507*n)/(n+10)*a(n+7)-3/4*(2485+317*n)/(n+10)*a(n+8)+1/2*(427+48*n)/(n+10)*a(n+9)+3/2/(n+10), n >= 12<br /><br />

    Recurrence in latex format:<br />
    
      a{\left(0 \right)} = 1<br />
    
      a{\left(1 \right)} = 1<br />
    
      a{\left(2 \right)} = 2<br />
    
      a{\left(3 \right)} = 6<br />
    
      a{\left(4 \right)} = 24<br />
    
      a{\left(5 \right)} = 109<br />
    
      a{\left(6 \right)} = 522<br />
    
      a{\left(7 \right)} = 2565<br />
    
      a{\left(8 \right)} = 12796<br />
    
      a{\left(9 \right)} = 64493<br />
    
      a{\left(10 \right)} = 327498<br />
    
      a{\left(11 \right)} = 1672550<br />
    
    a{\left(n + 10 \right)} = - \frac{100 \left(n + 1\right) a{\left(n \right)}}{n + 10} + \frac{20 \left(45 n + 77\right) a{\left(n + 1 \right)}}{n + 10} + \frac{\left(48 n + 427\right) a{\left(n + 9 \right)}}{2 \left(n + 10\right)} - \frac{48 \left(72 n + 179\right) a{\left(n + 2 \right)}}{n + 10} - \frac{3 \left(317 n + 2485\right) a{\left(n + 8 \right)}}{4 \left(n + 10\right)} + \frac{5 \left(507 n + 3464\right) a{\left(n + 7 \right)}}{2 \left(n + 10\right)} + \frac{3 \left(5203 n + 25911\right) a{\left(n + 5 \right)}}{2 \left(n + 10\right)} + \frac{\left(14757 n + 48605\right) a{\left(n + 3 \right)}}{2 \left(n + 10\right)} - \frac{\left(16001 n + 94079\right) a{\left(n + 6 \right)}}{4 \left(n + 10\right)} - \frac{\left(19159 n + 78991\right) a{\left(n + 4 \right)}}{2 \left(n + 10\right)} + \frac{3}{2 \left(n + 10\right)}, \quad n \geq 12<br /><br />
  



  Specification 1<br />
  Strategy pack name: point_placements_req_corrob<br />
  Tree: http://permpal.com/tree/24546/<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[34,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[6,x]<br />
  
    F[6,x] = F[34,x]*F[7,x]<br />
  
    F[7,x] = F[719,x]+F[8,x]<br />
  
    F[8,x] = F[50,x]+F[9,x]<br />
  
    F[9,x] = F[0,x]+F[10,x]<br />
  
    F[10,x] = F[11,x]+F[2,x]<br />
  
    F[11,x] = F[12,x]<br />
  
    F[12,x] = F[13,x]*F[34,x]<br />
  
    F[13,x] = F[14,x]+F[372,x]<br />
  
    F[14,x] = F[15,x]+F[16,x]<br />
  
    F[15,x] = F[11,x]+F[2,x]<br />
  
    F[16,x] = F[17,x]<br />
  
    F[17,x] = F[18,x]*F[34,x]<br />
  
    F[18,x] = F[19,x]<br />
  
    F[19,x] = F[20,x]*F[34,x]*F[717,x]<br />
  
    F[20,x] = F[21,x]+F[4,x]<br />
  
    F[21,x] = F[22,x]<br />
  
    F[22,x] = F[23,x]*F[34,x]<br />
  
    F[23,x] = F[24,x]+F[551,x]<br />
  
    F[24,x] = F[20,x]+F[25,x]<br />
  
    F[25,x] = -F[715,x]+F[26,x]<br />
  
    F[26,x] = -F[551,x]+F[27,x]<br />
  
    F[27,x] = 1/F[34,x]*F[28,x]<br />
  
    F[28,x] = F[29,x]<br />
  
    F[29,x] = -F[35,x]+F[30,x]<br />
  
    F[30,x] = 1/F[34,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = -F[2,x]+F[33,x]<br />
  
    F[33,x] = -F[0,x]+F[4,x]<br />
  
    F[34,x] = x<br />
  
    F[35,x] = -F[714,x]+F[36,x]<br />
  
    F[36,x] = F[37,x]+F[4,x]<br />
  
    F[37,x] = -F[708,x]+F[38,x]<br />
  
    F[38,x] = F[39,x]<br />
  
    F[39,x] = F[34,x]*F[40,x]<br />
  
    F[40,x] = 1/F[34,x]*F[41,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[43,x]+F[706,x]<br />
  
    F[43,x] = F[33,x]+F[44,x]<br />
  
    F[44,x] = -F[5,x]+F[45,x]<br />
  
    F[45,x] = F[46,x]<br />
  
    F[46,x] = F[34,x]*F[47,x]<br />
  
    F[47,x] = 1/F[34,x]*F[48,x]<br />
  
    F[48,x] = F[49,x]<br />
  
    F[49,x] = F[246,x]+F[50,x]<br />
  
    F[50,x] = F[51,x]+F[55,x]<br />
  
    F[51,x] = F[52,x]<br />
  
    F[52,x] = F[34,x]*F[53,x]<br />
  
    F[53,x] = 1/F[34,x]*F[54,x]<br />
  
    F[54,x] = F[5,x]<br />
  
    F[55,x] = F[56,x]<br />
  
    F[56,x] = F[20,x]*F[34,x]*F[57,x]<br />
  
    F[57,x] = F[58,x]<br />
  
    F[58,x] = F[59,x]<br />
  
    F[59,x] = F[34,x]*F[60,x]<br />
  
    F[60,x] = F[199,x]+F[61,x]<br />
  
    F[61,x] = F[62,x]+F[64,x]<br />
  
    F[62,x] = F[58,x]+F[63,x]<br />
  
    F[63,x] = -1+(x^2-2*x)*F[63,x]^2+(2+x)*F[63,x]<br />
  
    F[64,x] = 1/F[34,x]*F[65,x]<br />
  
    F[65,x] = F[66,x]<br />
  
    F[66,x] = -F[194,x]+F[67,x]<br />
  
    F[67,x] = F[68,x]<br />
  
    F[68,x] = F[34,x]*F[69,x]<br />
  
    F[69,x] = 1/F[34,x]/F[75,x]/F[82,x]*F[70,x]<br />
  
    F[70,x] = F[71,x]<br />
  
    F[71,x] = -F[193,x]+F[72,x]<br />
  
    F[72,x] = F[159,x]+F[73,x]<br />
  
    F[73,x] = F[74,x]+F[86,x]<br />
  
    F[74,x] = F[63,x]*F[75,x]<br />
  
    F[75,x] = F[1,x]+F[76,x]<br />
  
    F[76,x] = F[77,x]<br />
  
    F[77,x] = F[34,x]*F[78,x]<br />
  
    F[78,x] = F[75,x]+F[79,x]<br />
  
    F[79,x] = F[80,x]+F[83,x]<br />
  
    F[80,x] = F[81,x]<br />
  
    F[81,x] = F[34,x]*F[82,x]<br />
  
    F[82,x] = F[1,x]+F[80,x]<br />
  
    F[83,x] = F[84,x]<br />
  
    F[84,x] = F[34,x]*F[85,x]<br />
  
    F[85,x] = F[76,x]+F[83,x]<br />
  
    F[86,x] = F[87,x]<br />
  
    F[87,x] = F[34,x]*F[88,x]<br />
  
    F[88,x] = F[155,x]+F[89,x]<br />
  
    F[89,x] = F[75,x]*F[82,x]*F[90,x]<br />
  
    F[90,x] = F[62,x]+F[91,x]<br />
  
    F[91,x] = F[92,x]<br />
  
    F[92,x] = F[34,x]*F[62,x]*F[93,x]<br />
  
    F[93,x] = F[110,x]+F[94,x]<br />
  
    F[94,x] = F[95,x]+F[96,x]<br />
  
    F[95,x] = F[1,x]+F[34,x]<br />
  
    F[96,x] = F[76,x]+F[97,x]<br />
  
    F[97,x] = F[109,x]+F[98,x]+F[99,x]<br />
  
    F[98,x] = 0<br />
  
    F[99,x] = F[100,x]*F[34,x]<br />
  
    F[100,x] = F[101,x]+F[102,x]<br />
  
    F[101,x] = F[34,x]+F[97,x]<br />
  
    F[102,x] = F[103,x]+F[106,x]<br />
  
    F[103,x] = F[104,x]<br />
  
    F[104,x] = F[105,x]*F[34,x]<br />
  
    F[105,x] = F[103,x]+F[34,x]<br />
  
    F[106,x] = F[107,x]<br />
  
    F[107,x] = F[108,x]*F[34,x]<br />
  
    F[108,x] = F[106,x]+F[97,x]<br />
  
    F[109,x] = F[34,x]*F[80,x]<br />
  
    F[110,x] = F[111,x]+F[119,x]<br />
  
    F[111,x] = F[112,x]+F[115,x]<br />
  
    F[112,x] = F[113,x]<br />
  
    F[113,x] = F[114,x]*F[34,x]<br />
  
    F[114,x] = F[1,x]+F[112,x]<br />
  
    F[115,x] = F[116,x]+F[118,x]+F[98,x]<br />
  
    F[116,x] = F[117,x]*F[34,x]<br />
  
    F[117,x] = F[115,x]+F[34,x]<br />
  
    F[118,x] = F[112,x]*F[34,x]<br />
  
    F[119,x] = F[120,x]+F[137,x]<br />
  
    F[120,x] = F[121,x]+F[123,x]+F[98,x]<br />
  
    F[121,x] = F[122,x]*F[34,x]<br />
  
    F[122,x] = F[120,x]+F[76,x]<br />
  
    F[123,x] = F[124,x]*F[34,x]<br />
  
    F[124,x] = F[125,x]+F[126,x]<br />
  
    F[125,x] = F[112,x]+F[120,x]<br />
  
    F[126,x] = F[127,x]+F[132,x]<br />
  
    F[127,x] = F[128,x]+F[130,x]+F[98,x]<br />
  
    F[128,x] = F[129,x]*F[34,x]<br />
  
    F[129,x] = F[127,x]+F[80,x]<br />
  
    F[130,x] = F[131,x]*F[34,x]<br />
  
    F[131,x] = F[112,x]+F[127,x]<br />
  
    F[132,x] = 2*F[98,x]+F[133,x]+F[135,x]<br />
  
    F[133,x] = F[134,x]*F[34,x]<br />
  
    F[134,x] = F[132,x]+F[83,x]<br />
  
    F[135,x] = F[136,x]*F[34,x]<br />
  
    F[136,x] = F[120,x]+F[132,x]<br />
  
    F[137,x] = F[138,x]+F[140,x]+F[154,x]+F[98,x]<br />
  
    F[138,x] = F[139,x]*F[34,x]<br />
  
    F[139,x] = F[137,x]+F[97,x]<br />
  
    F[140,x] = F[141,x]*F[34,x]<br />
  
    F[141,x] = F[142,x]+F[143,x]<br />
  
    F[142,x] = F[115,x]+F[137,x]<br />
  
    F[143,x] = F[144,x]+F[149,x]<br />
  
    F[144,x] = 2*F[98,x]+F[145,x]+F[147,x]<br />
  
    F[145,x] = F[146,x]*F[34,x]<br />
  
    F[146,x] = F[103,x]+F[144,x]<br />
  
    F[147,x] = F[148,x]*F[34,x]<br />
  
    F[148,x] = F[115,x]+F[144,x]<br />
  
    F[149,x] = 3*F[98,x]+F[150,x]+F[152,x]<br />
  
    F[150,x] = F[151,x]*F[34,x]<br />
  
    F[151,x] = F[106,x]+F[149,x]<br />
  
    F[152,x] = F[153,x]*F[34,x]<br />
  
    F[153,x] = F[137,x]+F[149,x]<br />
  
    F[154,x] = F[127,x]*F[34,x]<br />
  
    F[155,x] = F[156,x]<br />
  
    F[156,x] = F[157,x]*F[158,x]*F[34,x]*F[63,x]*F[75,x]*F[82,x]<br />
  
    F[157,x] = F[125,x]+F[75,x]<br />
  
    F[158,x] = F[131,x]+F[82,x]<br />
  
    F[159,x] = F[160,x]+F[168,x]<br />
  
    F[160,x] = F[161,x]*F[162,x]<br />
  
    F[161,x] = (x*F[161,x]+x-1)*(x*F[161,x]+x-2*F[161,x])<br />
  
    F[162,x] = F[163,x]+F[75,x]<br />
  
    F[163,x] = F[164,x]+F[34,x]<br />
  
    F[164,x] = F[165,x]+F[166,x]+F[98,x]<br />
  
    F[165,x] = F[34,x]*F[76,x]<br />
  
    F[166,x] = F[167,x]*F[34,x]<br />
  
    F[167,x] = F[163,x]<br />
  
    F[168,x] = F[169,x]<br />
  
    F[169,x] = F[170,x]*F[186,x]*F[34,x]<br />
  
    F[170,x] = F[161,x]+F[171,x]<br />
  
    F[171,x] = -F[63,x]+F[172,x]<br />
  
    F[172,x] = 1/F[175,x]/F[34,x]*F[173,x]<br />
  
    F[173,x] = F[174,x]<br />
  
    F[174,x] = -F[63,x]+F[175,x]<br />
  
    F[175,x] = 1/F[0,x]*F[176,x]<br />
  
    F[176,x] = -F[179,x]+F[177,x]<br />
  
    F[177,x] = 1/F[34,x]*F[178,x]<br />
  
    F[178,x] = F[51,x]<br />
  
    F[179,x] = -F[185,x]+F[180,x]<br />
  
    F[180,x] = 1/F[34,x]*F[181,x]<br />
  
    F[181,x] = F[182,x]<br />
  
    F[182,x] = -F[2,x]+F[183,x]<br />
  
    F[183,x] = -F[63,x]+F[184,x]<br />
  
    F[184,x] = F[0,x]+F[51,x]<br />
  
    F[185,x] = F[175,x]*F[2,x]<br />
  
    F[186,x] = 1/F[34,x]*F[187,x]<br />
  
    F[187,x] = F[188,x]<br />
  
    F[188,x] = F[189,x]+F[190,x]<br />
  
    F[189,x] = F[161,x]*F[75,x]<br />
  
    F[190,x] = F[191,x]<br />
  
    F[191,x] = F[192,x]*F[34,x]*F[75,x]*F[82,x]<br />
  
    F[192,x] = F[161,x]+F[58,x]<br />
  
    F[193,x] = F[175,x]*F[75,x]<br />
  
    F[194,x] = F[195,x]<br />
  
    F[195,x] = F[196,x]*F[34,x]<br />
  
    F[196,x] = F[197,x]+F[90,x]<br />
  
    F[197,x] = F[198,x]<br />
  
    F[198,x] = F[157,x]*F[158,x]*F[34,x]*F[63,x]<br />
  
    F[199,x] = 1/F[2,x]*F[200,x]<br />
  
    F[200,x] = -F[237,x]+F[201,x]<br />
  
    F[201,x] = F[202,x]<br />
  
    F[202,x] = F[203,x]*F[34,x]<br />
  
    F[203,x] = 1/F[34,x]*F[204,x]<br />
  
    F[204,x] = F[205,x]<br />
  
    F[205,x] = -F[235,x]+F[206,x]<br />
  
    F[206,x] = 1/F[34,x]*F[207,x]<br />
  
    F[207,x] = F[208,x]<br />
  
    F[208,x] = -F[234,x]+F[209,x]<br />
  
    F[209,x] = F[210,x]<br />
  
    F[210,x] = F[211,x]*F[34,x]<br />
  
    F[211,x] = F[212,x]+F[233,x]<br />
  
    F[212,x] = F[213,x]+F[229,x]<br />
  
    F[213,x] = F[184,x]+F[214,x]<br />
  
    F[214,x] = F[215,x]+F[220,x]<br />
  
    F[215,x] = F[216,x]<br />
  
    F[216,x] = F[175,x]*F[217,x]*F[34,x]<br />
  
    F[217,x] = F[114,x]+F[218,x]<br />
  
    F[218,x] = F[219,x]<br />
  
    F[219,x] = F[114,x]*F[20,x]*F[34,x]<br />
  
    F[220,x] = F[221,x]<br />
  
    F[221,x] = F[222,x]*F[34,x]<br />
  
    F[222,x] = F[223,x]+F[228,x]<br />
  
    F[223,x] = F[224,x]<br />
  
    F[224,x] = F[175,x]*F[225,x]*F[34,x]<br />
  
    F[225,x] = 1/F[34,x]/F[63,x]*F[226,x]<br />
  
    F[226,x] = F[227,x]<br />
  
    F[227,x] = -F[8,x]+F[53,x]<br />
  
    F[228,x] = F[214,x]<br />
  
    F[229,x] = F[2,x]*F[230,x]<br />
  
    F[230,x] = 1/F[20,x]/F[34,x]*F[231,x]<br />
  
    F[231,x] = F[232,x]<br />
  
    F[232,x] = -F[213,x]+F[177,x]<br />
  
    F[233,x] = F[175,x]*F[5,x]<br />
  
    F[234,x] = F[2,x]*F[63,x]<br />
  
    F[235,x] = F[236,x]*F[4,x]<br />
  
    F[236,x] = -F[63,x]+F[175,x]<br />
  
    F[237,x] = -F[240,x]+F[238,x]<br />
  
    F[238,x] = 1/F[34,x]*F[239,x]<br />
  
    F[239,x] = F[182,x]<br />
  
    F[240,x] = F[241,x]<br />
  
    F[241,x] = F[242,x]*F[34,x]<br />
  
    F[242,x] = F[243,x]+F[244,x]<br />
  
    F[243,x] = F[217,x]*F[230,x]<br />
  
    F[244,x] = F[245,x]<br />
  
    F[245,x] = F[225,x]*F[230,x]*F[34,x]<br />
  
    F[246,x] = F[247,x]<br />
  
    F[247,x] = F[161,x]*F[248,x]*F[34,x]<br />
  
    F[248,x] = F[249,x]+F[257,x]<br />
  
    F[249,x] = F[114,x]*F[250,x]<br />
  
    F[250,x] = F[251,x]+F[254,x]<br />
  
    F[251,x] = F[217,x]+F[252,x]<br />
  
    F[252,x] = F[253,x]<br />
  
    F[253,x] = F[172,x]*F[20,x]*F[34,x]<br />
  
    F[254,x] = F[255,x]<br />
  
    F[255,x] = F[256,x]<br />
  
    F[256,x] = F[248,x]*F[34,x]<br />
  
    F[257,x] = F[258,x]<br />
  
    F[258,x] = F[114,x]*F[259,x]*F[34,x]<br />
  
    F[259,x] = 1/F[34,x]/F[63,x]*F[260,x]<br />
  
    F[260,x] = F[261,x]<br />
  
    F[261,x] = F[262,x]+F[263,x]<br />
  
    F[262,x] = F[45,x]*F[63,x]<br />
  
    F[263,x] = -F[671,x]+F[264,x]<br />
  
    F[264,x] = -F[650,x]+F[265,x]<br />
  
    F[265,x] = -F[346,x]+F[266,x]<br />
  
    F[266,x] = 1/F[34,x]*F[267,x]<br />
  
    F[267,x] = F[268,x]<br />
  
    F[268,x] = -F[338,x]+F[269,x]<br />
  
    F[269,x] = F[270,x]<br />
  
    F[270,x] = F[271,x]*F[34,x]<br />
  
    F[271,x] = F[272,x]+F[336,x]<br />
  
    F[272,x] = F[273,x]+F[277,x]<br />
  
    F[273,x] = F[274,x]<br />
  
    F[274,x] = 1/F[34,x]*F[275,x]<br />
  
    F[275,x] = F[276,x]<br />
  
    F[276,x] = -F[5,x]+F[35,x]<br />
  
    F[277,x] = -F[278,x]+F[40,x]<br />
  
    F[278,x] = F[279,x]+F[281,x]<br />
  
    F[279,x] = F[273,x]+F[280,x]<br />
  
    F[280,x] = F[29,x]+F[36,x]<br />
  
    F[281,x] = F[282,x]*F[34,x]<br />
  
    F[282,x] = F[280,x]+F[283,x]<br />
  
    F[283,x] = F[284,x]<br />
  
    F[284,x] = F[285,x]<br />
  
    F[285,x] = F[20,x]*F[286,x]*F[34,x]<br />
  
    F[286,x] = 1/F[34,x]*F[287,x]<br />
  
    F[287,x] = F[288,x]<br />
  
    F[288,x] = -F[299,x]+F[289,x]<br />
  
    F[289,x] = -F[292,x]+F[290,x]<br />
  
    F[290,x] = 1/F[34,x]*F[291,x]<br />
  
    F[291,x] = F[32,x]<br />
  
    F[292,x] = F[293,x]+F[296,x]<br />
  
    F[293,x] = F[183,x]+F[294,x]<br />
  
    F[294,x] = F[295,x]<br />
  
    F[295,x] = F[114,x]*F[194,x]*F[34,x]<br />
  
    F[296,x] = F[297,x]<br />
  
    F[297,x] = F[112,x]*F[158,x]*F[298,x]*F[34,x]<br />
  
    F[298,x] = F[194,x]+F[63,x]<br />
  
    F[299,x] = -F[335,x]+F[300,x]<br />
  
    F[300,x] = -F[331,x]+F[301,x]<br />
  
    F[301,x] = 1/F[34,x]*F[302,x]<br />
  
    F[302,x] = F[303,x]<br />
  
    F[303,x] = -F[161,x]+F[304,x]<br />
  
    F[304,x] = -F[307,x]+F[305,x]<br />
  
    F[305,x] = 1/F[34,x]*F[306,x]<br />
  
    F[306,x] = F[2,x]<br />
  
    F[307,x] = F[1,x]+F[308,x]<br />
  
    F[308,x] = F[309,x]<br />
  
    F[309,x] = F[310,x]*F[34,x]<br />
  
    F[310,x] = F[311,x]+F[75,x]<br />
  
    F[311,x] = F[312,x]+F[319,x]<br />
  
    F[312,x] = F[313,x]<br />
  
    F[313,x] = F[314,x]*F[34,x]<br />
  
    F[314,x] = F[315,x]+F[82,x]<br />
  
    F[315,x] = F[316,x]+F[34,x]<br />
  
    F[316,x] = F[317,x]+F[318,x]+F[98,x]<br />
  
    F[317,x] = F[34,x]*F[80,x]<br />
  
    F[318,x] = F[315,x]*F[34,x]<br />
  
    F[319,x] = F[320,x]+F[324,x]+F[98,x]<br />
  
    F[320,x] = F[321,x]*F[34,x]<br />
  
    F[321,x] = F[322,x]+F[85,x]<br />
  
    F[322,x] = F[323,x]+F[328,x]<br />
  
    F[323,x] = F[165,x]+F[324,x]+F[98,x]<br />
  
    F[324,x] = F[325,x]*F[34,x]<br />
  
    F[325,x] = F[326,x]+F[327,x]<br />
  
    F[326,x] = F[323,x]+F[34,x]<br />
  
    F[327,x] = F[316,x]+F[328,x]<br />
  
    F[328,x] = 2*F[98,x]+F[329,x]+F[330,x]<br />
  
    F[329,x] = F[34,x]*F[83,x]<br />
  
    F[330,x] = F[322,x]*F[34,x]<br />
  
    F[331,x] = -F[334,x]+F[332,x]<br />
  
    F[332,x] = 1/F[34,x]*F[333,x]<br />
  
    F[333,x] = F[304,x]<br />
  
    F[334,x] = F[289,x]+F[305,x]<br />
  
    F[335,x] = F[303,x]+F[308,x]<br />
  
    F[336,x] = F[337,x]<br />
  
    F[337,x] = F[284,x]*F[34,x]<br />
  
    F[338,x] = F[339,x]<br />
  
    F[339,x] = F[34,x]*F[340,x]<br />
  
    F[340,x] = F[341,x]+F[345,x]<br />
  
    F[341,x] = F[342,x]+F[343,x]<br />
  
    F[342,x] = F[161,x]*F[4,x]<br />
  
    F[343,x] = F[183,x]+F[344,x]<br />
  
    F[344,x] = F[2,x]*F[58,x]<br />
  
    F[345,x] = F[161,x]*F[34,x]*F[4,x]<br />
  
    F[346,x] = F[347,x]+F[351,x]<br />
  
    F[347,x] = F[348,x]<br />
  
    F[348,x] = F[161,x]*F[349,x]<br />
  
    F[349,x] = F[350,x]+F[45,x]<br />
  
    F[350,x] = F[14,x]*F[34,x]<br />
  
    F[351,x] = -F[536,x]+F[352,x]<br />
  
    F[352,x] = F[353,x]<br />
  
    F[353,x] = F[34,x]*F[354,x]<br />
  
    F[354,x] = F[355,x]+F[368,x]<br />
  
    F[355,x] = F[356,x]*F[360,x]<br />
  
    F[356,x] = 1/F[34,x]*F[357,x]<br />
  
    F[357,x] = F[358,x]<br />
  
    F[358,x] = F[33,x]+F[359,x]<br />
  
    F[359,x] = F[10,x]*F[34,x]<br />
  
    F[360,x] = 1/F[307,x]*F[361,x]<br />
  
    F[361,x] = -F[364,x]+F[362,x]<br />
  
    F[362,x] = 1/F[34,x]*F[363,x]<br />
  
    F[363,x] = F[304,x]<br />
  
    F[364,x] = -F[367,x]+F[365,x]<br />
  
    F[365,x] = 1/F[34,x]*F[366,x]<br />
  
    F[366,x] = F[303,x]<br />
  
    F[367,x] = F[308,x]*F[360,x]<br />
  
    F[368,x] = F[369,x]*F[532,x]<br />
  
    F[369,x] = F[370,x]+F[372,x]<br />
  
    F[370,x] = F[371,x]+F[9,x]<br />
  
    F[371,x] = F[16,x]+F[33,x]<br />
  
    F[372,x] = F[373,x]<br />
  
    F[373,x] = F[34,x]*F[374,x]<br />
  
    F[374,x] = F[24,x]+F[375,x]<br />
  
    F[375,x] = F[376,x]<br />
  
    F[376,x] = F[34,x]*F[377,x]<br />
  
    F[377,x] = 1/F[34,x]*F[378,x]<br />
  
    F[378,x] = F[379,x]<br />
  
    F[379,x] = -F[525,x]+F[380,x]<br />
  
    F[380,x] = 1/F[34,x]*F[381,x]<br />
  
    F[381,x] = F[382,x]<br />
  
    F[382,x] = F[383,x]<br />
  
    F[383,x] = F[34,x]*F[384,x]<br />
  
    F[384,x] = 1/F[34,x]*F[385,x]<br />
  
    F[385,x] = F[386,x]<br />
  
    F[386,x] = 1/F[75,x]*F[387,x]<br />
  
    F[387,x] = -F[524,x]+F[388,x]<br />
  
    F[388,x] = -F[499,x]+F[389,x]<br />
  
    F[389,x] = 1/F[34,x]*F[390,x]<br />
  
    F[390,x] = F[391,x]<br />
  
    F[391,x] = -F[498,x]+F[392,x]<br />
  
    F[392,x] = -F[310,x]+F[393,x]<br />
  
    F[393,x] = F[394,x]+F[395,x]<br />
  
    F[394,x] = F[0,x]*F[75,x]<br />
  
    F[395,x] = F[396,x]+F[489,x]<br />
  
    F[396,x] = F[397,x]<br />
  
    F[397,x] = F[34,x]*F[398,x]<br />
  
    F[398,x] = F[399,x]+F[405,x]<br />
  
    F[399,x] = F[400,x]+F[9,x]<br />
  
    F[400,x] = F[396,x]+F[401,x]<br />
  
    F[401,x] = F[402,x]<br />
  
    F[402,x] = F[20,x]*F[34,x]*F[403,x]<br />
  
    F[403,x] = F[404,x]<br />
  
    F[404,x] = F[286,x]*F[34,x]<br />
  
    F[405,x] = F[406,x]<br />
  
    F[406,x] = F[34,x]*F[407,x]<br />
  
    F[407,x] = 1/F[34,x]/F[75,x]*F[408,x]<br />
  
    F[408,x] = F[409,x]<br />
  
    F[409,x] = F[410,x]+F[411,x]<br />
  
    F[410,x] = F[163,x]*F[217,x]<br />
  
    F[411,x] = F[412,x]<br />
  
    F[412,x] = F[172,x]*F[34,x]*F[413,x]<br />
  
    F[413,x] = F[414,x]<br />
  
    F[414,x] = F[34,x]*F[415,x]*F[75,x]<br />
  
    F[415,x] = F[416,x]+F[485,x]<br />
  
    F[416,x] = F[417,x]+F[483,x]<br />
  
    F[417,x] = F[418,x]+F[470,x]<br />
  
    F[418,x] = F[0,x]+F[419,x]<br />
  
    F[419,x] = F[420,x]+F[80,x]<br />
  
    F[420,x] = F[421,x]<br />
  
    F[421,x] = F[34,x]*F[422,x]<br />
  
    F[422,x] = F[423,x]+F[424,x]<br />
  
    F[423,x] = F[2,x]+F[420,x]<br />
  
    F[424,x] = F[425,x]<br />
  
    F[425,x] = F[34,x]*F[426,x]<br />
  
    F[426,x] = F[427,x]+F[432,x]<br />
  
    F[427,x] = F[428,x]+F[429,x]<br />
  
    F[428,x] = F[4,x]*F[82,x]<br />
  
    F[429,x] = F[430,x]<br />
  
    F[430,x] = F[34,x]*F[415,x]*F[431,x]<br />
  
    F[431,x] = F[288,x]+F[63,x]<br />
  
    F[432,x] = -F[467,x]+F[433,x]<br />
  
    F[433,x] = 1/F[34,x]*F[434,x]<br />
  
    F[434,x] = F[435,x]<br />
  
    F[435,x] = -F[465,x]+F[436,x]<br />
  
    F[436,x] = F[10,x]+F[437,x]<br />
  
    F[437,x] = F[438,x]<br />
  
    F[438,x] = F[34,x]*F[439,x]<br />
  
    F[439,x] = -F[463,x]+F[440,x]<br />
  
    F[440,x] = 1/F[34,x]*F[441,x]<br />
  
    F[441,x] = F[442,x]<br />
  
    F[442,x] = -F[460,x]+F[443,x]<br />
  
    F[443,x] = -F[446,x]+F[444,x]<br />
  
    F[444,x] = 1/F[34,x]*F[445,x]<br />
  
    F[445,x] = F[395,x]<br />
  
    F[446,x] = F[447,x]+F[448,x]<br />
  
    F[447,x] = F[399,x]*F[75,x]<br />
  
    F[448,x] = F[217,x]*F[449,x]<br />
  
    F[449,x] = F[450,x]+F[76,x]<br />
  
    F[450,x] = F[166,x]+F[451,x]+F[98,x]<br />
  
    F[451,x] = F[34,x]*F[452,x]<br />
  
    F[452,x] = F[453,x]+F[454,x]<br />
  
    F[453,x] = F[450,x]+F[76,x]<br />
  
    F[454,x] = F[164,x]+F[455,x]<br />
  
    F[455,x] = F[456,x]+F[457,x]+F[459,x]+F[98,x]<br />
  
    F[456,x] = F[34,x]*F[450,x]<br />
  
    F[457,x] = F[34,x]*F[458,x]<br />
  
    F[458,x] = F[454,x]<br />
  
    F[459,x] = 0<br />
  
    F[460,x] = F[461,x]<br />
  
    F[461,x] = F[34,x]*F[440,x]*F[462,x]<br />
  
    F[462,x] = F[449,x]+F[76,x]<br />
  
    F[463,x] = 1/F[34,x]*F[464,x]<br />
  
    F[464,x] = F[419,x]<br />
  
    F[465,x] = F[2,x]+F[466,x]<br />
  
    F[466,x] = F[112,x]*F[80,x]<br />
  
    F[467,x] = F[14,x]+F[468,x]<br />
  
    F[468,x] = F[420,x]+F[469,x]<br />
  
    F[469,x] = -F[11,x]+F[435,x]<br />
  
    F[470,x] = F[33,x]+F[471,x]<br />
  
    F[471,x] = -F[396,x]+F[472,x]<br />
  
    F[472,x] = F[473,x]<br />
  
    F[473,x] = F[34,x]*F[474,x]<br />
  
    F[474,x] = F[427,x]+F[475,x]<br />
  
    F[475,x] = -F[481,x]+F[476,x]<br />
  
    F[476,x] = 1/F[34,x]*F[477,x]<br />
  
    F[477,x] = F[478,x]<br />
  
    F[478,x] = F[396,x]+F[479,x]<br />
  
    F[479,x] = F[480,x]<br />
  
    F[480,x] = F[255,x]*F[34,x]<br />
  
    F[481,x] = F[255,x]+F[482,x]<br />
  
    F[482,x] = F[418,x]+F[424,x]<br />
  
    F[483,x] = F[484,x]<br />
  
    F[484,x] = F[34,x]*F[415,x]<br />
  
    F[485,x] = F[486,x]<br />
  
    F[486,x] = F[34,x]*F[487,x]<br />
  
    F[487,x] = 1/F[34,x]*F[488,x]<br />
  
    F[488,x] = F[432,x]<br />
  
    F[489,x] = F[490,x]<br />
  
    F[490,x] = F[34,x]*F[491,x]<br />
  
    F[491,x] = F[492,x]+F[493,x]<br />
  
    F[492,x] = F[398,x]*F[76,x]<br />
  
    F[493,x] = F[449,x]*F[494,x]<br />
  
    F[494,x] = F[418,x]+F[495,x]<br />
  
    F[495,x] = F[496,x]<br />
  
    F[496,x] = F[34,x]*F[497,x]<br />
  
    F[497,x] = F[432,x]+F[494,x]<br />
  
    F[498,x] = F[2,x]*F[75,x]<br />
  
    F[499,x] = F[500,x]+F[503,x]<br />
  
    F[500,x] = F[501,x]+F[502,x]<br />
  
    F[501,x] = F[423,x]*F[75,x]<br />
  
    F[502,x] = F[2,x]*F[449,x]<br />
  
    F[503,x] = F[504,x]<br />
  
    F[504,x] = F[34,x]*F[505,x]<br />
  
    F[505,x] = F[506,x]+F[514,x]<br />
  
    F[506,x] = F[507,x]<br />
  
    F[507,x] = F[2,x]*F[508,x]*F[82,x]<br />
  
    F[508,x] = 1/F[217,x]/F[34,x]/F[82,x]*F[509,x]<br />
  
    F[509,x] = F[510,x]<br />
  
    F[510,x] = F[325,x]+F[511,x]<br />
  
    F[511,x] = F[512,x]<br />
  
    F[512,x] = F[34,x]*F[508,x]*F[513,x]*F[82,x]<br />
  
    F[513,x] = F[112,x]+F[218,x]<br />
  
    F[514,x] = F[515,x]<br />
  
    F[515,x] = F[34,x]*F[516,x]*F[63,x]<br />
  
    F[516,x] = 1/F[34,x]*F[517,x]<br />
  
    F[517,x] = F[518,x]<br />
  
    F[518,x] = -F[521,x]+F[519,x]<br />
  
    F[519,x] = 1/F[34,x]*F[520,x]<br />
  
    F[520,x] = F[391,x]<br />
  
    F[521,x] = F[395,x]+F[522,x]<br />
  
    F[522,x] = F[523,x]<br />
  
    F[523,x] = F[471,x]*F[75,x]<br />
  
    F[524,x] = F[449,x]*F[495,x]<br />
  
    F[525,x] = F[526,x]+F[528,x]<br />
  
    F[526,x] = 1/F[34,x]*F[527,x]<br />
  
    F[527,x] = F[10,x]<br />
  
    F[528,x] = F[529,x]<br />
  
    F[529,x] = F[34,x]*F[530,x]<br />
  
    F[530,x] = 1/F[34,x]*F[531,x]<br />
  
    F[531,x] = F[277,x]<br />
  
    F[532,x] = F[533,x]<br />
  
    F[533,x] = F[34,x]*F[534,x]<br />
  
    F[534,x] = 1/F[34,x]*F[535,x]<br />
  
    F[535,x] = F[58,x]<br />
  
    F[536,x] = F[537,x]<br />
  
    F[537,x] = F[161,x]*F[538,x]<br />
  
    F[538,x] = -F[556,x]+F[539,x]<br />
  
    F[539,x] = F[540,x]+F[553,x]<br />
  
    F[540,x] = F[541,x]+F[542,x]<br />
  
    F[541,x] = F[4,x]+F[43,x]<br />
  
    F[542,x] = F[543,x]<br />
  
    F[543,x] = F[34,x]*F[544,x]<br />
  
    F[544,x] = F[545,x]+F[551,x]<br />
  
    F[545,x] = F[546,x]+F[550,x]<br />
  
    F[546,x] = F[25,x]+F[547,x]<br />
  
    F[547,x] = F[4,x]+F[548,x]<br />
  
    F[548,x] = F[549,x]<br />
  
    F[549,x] = F[34,x]*F[544,x]<br />
  
    F[550,x] = F[371,x]<br />
  
    F[551,x] = F[552,x]<br />
  
    F[552,x] = F[34,x]*F[377,x]<br />
  
    F[553,x] = F[554,x]<br />
  
    F[554,x] = F[34,x]*F[555,x]<br />
  
    F[555,x] = F[369,x]+F[375,x]<br />
  
    F[556,x] = -F[608,x]+F[557,x]<br />
  
    F[557,x] = -F[563,x]+F[558,x]<br />
  
    F[558,x] = -F[561,x]+F[559,x]<br />
  
    F[559,x] = 1/F[34,x]*F[560,x]<br />
  
    F[560,x] = F[42,x]<br />
  
    F[561,x] = F[34,x]*F[562,x]<br />
  
    F[562,x] = F[18,x]+F[540,x]<br />
  
    F[563,x] = F[564,x]+F[573,x]<br />
  
    F[564,x] = -F[569,x]+F[565,x]<br />
  
    F[565,x] = 1/F[34,x]*F[566,x]<br />
  
    F[566,x] = F[567,x]<br />
  
    F[567,x] = F[338,x]+F[568,x]<br />
  
    F[568,x] = F[2,x]*F[95,x]<br />
  
    F[569,x] = F[570,x]<br />
  
    F[570,x] = F[34,x]*F[571,x]<br />
  
    F[571,x] = F[4,x]+F[572,x]<br />
  
    F[572,x] = F[2,x]*F[431,x]<br />
  
    F[573,x] = F[349,x]+F[574,x]<br />
  
    F[574,x] = -F[350,x]+F[575,x]<br />
  
    F[575,x] = -F[581,x]+F[576,x]<br />
  
    F[576,x] = 1/F[34,x]*F[577,x]<br />
  
    F[577,x] = F[578,x]<br />
  
    F[578,x] = -F[579,x]+F[44,x]<br />
  
    F[579,x] = F[580,x]<br />
  
    F[580,x] = F[34,x]*F[341,x]<br />
  
    F[581,x] = F[582,x]+F[605,x]<br />
  
    F[582,x] = F[583,x]<br />
  
    F[583,x] = -F[584,x]+F[274,x]<br />
  
    F[584,x] = -F[587,x]+F[585,x]<br />
  
    F[585,x] = 1/F[34,x]*F[586,x]<br />
  
    F[586,x] = F[276,x]<br />
  
    F[587,x] = F[588,x]<br />
  
    F[588,x] = -F[604,x]+F[589,x]<br />
  
    F[589,x] = 1/F[34,x]*F[590,x]<br />
  
    F[590,x] = F[591,x]<br />
  
    F[591,x] = -F[603,x]+F[592,x]<br />
  
    F[592,x] = -F[597,x]+F[593,x]<br />
  
    F[593,x] = F[36,x]+F[594,x]<br />
  
    F[594,x] = F[595,x]<br />
  
    F[595,x] = F[34,x]*F[596,x]<br />
  
    F[596,x] = F[26,x]+F[379,x]<br />
  
    F[597,x] = F[598,x]+F[599,x]<br />
  
    F[598,x] = F[0,x]+F[396,x]<br />
  
    F[599,x] = F[600,x]+F[602,x]<br />
  
    F[600,x] = F[601,x]<br />
  
    F[601,x] = F[280,x]*F[34,x]<br />
  
    F[602,x] = -F[396,x]+F[382,x]<br />
  
    F[603,x] = F[479,x]+F[5,x]<br />
  
    F[604,x] = F[585,x]<br />
  
    F[605,x] = F[606,x]<br />
  
    F[606,x] = -F[607,x]+F[551,x]<br />
  
    F[607,x] = F[251,x]*F[34,x]<br />
  
    F[608,x] = F[609,x]<br />
  
    F[609,x] = -F[613,x]+F[610,x]<br />
  
    F[610,x] = F[611,x]+F[612,x]<br />
  
    F[611,x] = F[583,x]<br />
  
    F[612,x] = F[605,x]<br />
  
    F[613,x] = -F[617,x]+F[614,x]<br />
  
    F[614,x] = F[615,x]<br />
  
    F[615,x] = F[34,x]*F[616,x]<br />
  
    F[616,x] = F[375,x]+F[525,x]<br />
  
    F[617,x] = -F[633,x]+F[618,x]<br />
  
    F[618,x] = -F[623,x]+F[619,x]<br />
  
    F[619,x] = 1/F[34,x]*F[620,x]<br />
  
    F[620,x] = F[621,x]<br />
  
    F[621,x] = F[34,x]*F[622,x]<br />
  
    F[622,x] = F[396,x]+F[599,x]<br />
  
    F[623,x] = F[624,x]<br />
  
    F[624,x] = F[34,x]*F[625,x]<br />
  
    F[625,x] = -F[628,x]+F[626,x]<br />
  
    F[626,x] = 1/F[34,x]*F[627,x]<br />
  
    F[627,x] = F[599,x]<br />
  
    F[628,x] = -F[631,x]+F[629,x]<br />
  
    F[629,x] = 1/F[34,x]*F[630,x]<br />
  
    F[630,x] = F[602,x]<br />
  
    F[631,x] = F[632,x]<br />
  
    F[632,x] = F[34,x]*F[374,x]<br />
  
    F[633,x] = -F[646,x]+F[634,x]<br />
  
    F[634,x] = F[635,x]<br />
  
    F[635,x] = -F[645,x]+F[636,x]<br />
  
    F[636,x] = 1/F[34,x]*F[637,x]<br />
  
    F[637,x] = F[638,x]<br />
  
    F[638,x] = -F[644,x]+F[639,x]<br />
  
    F[639,x] = -F[641,x]+F[640,x]<br />
  
    F[640,x] = F[4,x]+F[478,x]<br />
  
    F[641,x] = F[642,x]+F[643,x]<br />
  
    F[642,x] = F[1,x]+F[312,x]<br />
  
    F[643,x] = F[2,x]*F[95,x]<br />
  
    F[644,x] = -F[642,x]+F[598,x]<br />
  
    F[645,x] = F[30,x]*F[95,x]<br />
  
    F[646,x] = F[479,x]+F[647,x]<br />
  
    F[647,x] = F[648,x]<br />
  
    F[648,x] = F[34,x]*F[649,x]<br />
  
    F[649,x] = F[587,x]<br />
  
    F[650,x] = F[651,x]<br />
  
    F[651,x] = -F[668,x]+F[652,x]<br />
  
    F[652,x] = F[653,x]<br />
  
    F[653,x] = F[34,x]^2*F[654,x]<br />
  
    F[654,x] = 1/F[34,x]*F[655,x]<br />
  
    F[655,x] = F[656,x]<br />
  
    F[656,x] = -F[664,x]+F[657,x]<br />
  
    F[657,x] = F[658,x]+F[660,x]<br />
  
    F[658,x] = 1/F[34,x]*F[659,x]<br />
  
    F[659,x] = F[33,x]<br />
  
    F[660,x] = F[661,x]<br />
  
    F[661,x] = F[20,x]*F[34,x]*F[662,x]<br />
  
    F[662,x] = 1/F[34,x]*F[663,x]<br />
  
    F[663,x] = F[288,x]<br />
  
    F[664,x] = F[665,x]+F[667,x]<br />
  
    F[665,x] = F[305,x]+F[666,x]<br />
  
    F[666,x] = F[2,x]*F[360,x]<br />
  
    F[667,x] = F[10,x]*F[360,x]<br />
  
    F[668,x] = F[34,x]*F[669,x]<br />
  
    F[669,x] = -F[342,x]+F[670,x]<br />
  
    F[670,x] = F[49,x]+F[548,x]<br />
  
    F[671,x] = F[672,x]<br />
  
    F[672,x] = F[34,x]*F[673,x]*F[704,x]<br />
  
    F[673,x] = 1/F[34,x]*F[674,x]<br />
  
    F[674,x] = -F[677,x]+F[675,x]<br />
  
    F[675,x] = 1/F[34,x]*F[676,x]<br />
  
    F[676,x] = F[606,x]<br />
  
    F[677,x] = F[678,x]<br />
  
    F[678,x] = 1/F[34,x]*F[679,x]<br />
  
    F[679,x] = F[680,x]<br />
  
    F[680,x] = F[34,x]*F[681,x]<br />
  
    F[681,x] = -F[684,x]+F[682,x]<br />
  
    F[682,x] = 1/F[34,x]*F[683,x]<br />
  
    F[683,x] = F[528,x]<br />
  
    F[684,x] = -F[685,x]+F[530,x]<br />
  
    F[685,x] = -F[686,x]+F[377,x]<br />
  
    F[686,x] = 1/F[175,x]/F[34,x]*F[687,x]<br />
  
    F[687,x] = F[688,x]<br />
  
    F[688,x] = -F[703,x]+F[689,x]<br />
  
    F[689,x] = 1/F[34,x]*F[690,x]<br />
  
    F[690,x] = F[691,x]<br />
  
    F[691,x] = F[692,x]+F[699,x]<br />
  
    F[692,x] = F[693,x]<br />
  
    F[693,x] = F[34,x]*F[694,x]<br />
  
    F[694,x] = F[695,x]+F[698,x]<br />
  
    F[695,x] = F[4,x]+F[696,x]<br />
  
    F[696,x] = F[697,x]<br />
  
    F[697,x] = F[175,x]*F[20,x]*F[34,x]<br />
  
    F[698,x] = F[216,x]<br />
  
    F[699,x] = F[700,x]<br />
  
    F[700,x] = F[34,x]*F[701,x]<br />
  
    F[701,x] = F[235,x]+F[702,x]<br />
  
    F[702,x] = F[175,x]*F[21,x]<br />
  
    F[703,x] = F[526,x]*F[63,x]<br />
  
    F[704,x] = F[705,x]<br />
  
    F[705,x] = F[34,x]*F[62,x]<br />
  
    F[706,x] = F[707,x]<br />
  
    F[707,x] = F[34,x]^2*F[562,x]<br />
  
    F[708,x] = F[709,x]<br />
  
    F[709,x] = F[34,x]*F[710,x]<br />
  
    F[710,x] = F[400,x]+F[711,x]<br />
  
    F[711,x] = -F[432,x]+F[712,x]<br />
  
    F[712,x] = 1/F[34,x]*F[713,x]<br />
  
    F[713,x] = F[602,x]<br />
  
    F[714,x] = F[0,x]+F[600,x]<br />
  
    F[715,x] = F[711,x]+F[716,x]<br />
  
    F[716,x] = F[255,x]+F[399,x]<br />
  
    F[717,x] = 1/F[34,x]*F[718,x]<br />
  
    F[718,x] = F[288,x]<br />
  
    F[719,x] = F[246,x]+F[255,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_{34}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{34}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{719}\! \left(x \right)+F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{50}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{0}\! \left(x \right)+F_{10}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right)+F_{372}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = F_{11}\! \left(x \right)+F_{2}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right) F_{717}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{20}\! \left(x \right)+F_{25}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = -F_{715}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = -F_{551}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = \frac{F_{28}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = -F_{35}\! \left(x \right)+F_{30}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{33}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = x<br />
  
    F_{35}\! \left(x \right) = -F_{714}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = -F_{708}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{34}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = \frac{F_{41}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{43}\! \left(x \right)+F_{706}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{33}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = -F_{5}\! \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_{34}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = \frac{F_{48}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{246}\! \left(x \right)+F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{51}\! \left(x \right)+F_{55}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{34}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = \frac{F_{54}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{54}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{56}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{34}\! \left(x \right) F_{60}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{199}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{62}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{58}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = x^{2} F_{63} \left(x \right)^{2}-2 x F_{63} \left(x \right)^{2}+F_{63}\! \left(x \right) x +2 F_{63}\! \left(x \right)-1<br />
  
    F_{64}\! \left(x \right) = \frac{F_{65}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = -F_{194}\! \left(x \right)+F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{34}\! \left(x \right) F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = \frac{F_{70}\! \left(x \right)}{F_{34}\! \left(x \right) F_{75}\! \left(x \right) F_{82}\! \left(x \right)}<br />
  
    F_{70}\! \left(x \right) = F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = -F_{193}\! \left(x \right)+F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{159}\! \left(x \right)+F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{74}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{63}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{1}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{34}\! \left(x \right) F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{75}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{80}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{81}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{34}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{1}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{34}\! \left(x \right) F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{76}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{34}\! \left(x \right) F_{88}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{155}\! \left(x \right)+F_{89}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{75}\! \left(x \right) F_{82}\! \left(x \right) F_{90}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{62}\! \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_{34}\! \left(x \right) F_{62}\! \left(x \right) F_{93}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{110}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{95}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{1}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{76}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = F_{109}\! \left(x \right)+F_{98}\! \left(x \right)+F_{99}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = 0<br />
  
    F_{99}\! \left(x \right) = F_{100}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = F_{101}\! \left(x \right)+F_{102}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = F_{34}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{106}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{105}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{103}\! \left(x \right)+F_{34}\! \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_{34}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{106}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = F_{34}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right)+F_{119}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{115}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{113}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{114}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = F_{1}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right)+F_{118}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{117}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{115}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{112}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x \right)+F_{137}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{123}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{121}\! \left(x \right) = F_{122}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{122}\! \left(x \right) = F_{120}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{125}\! \left(x \right)+F_{126}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{112}\! \left(x \right)+F_{120}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = F_{128}\! \left(x \right)+F_{130}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{127}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{112}\! \left(x \right)+F_{127}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = 2 F_{98}\! \left(x \right)+F_{133}\! \left(x \right)+F_{135}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{132}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{120}\! \left(x \right)+F_{132}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)+F_{140}\! \left(x \right)+F_{154}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{137}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{141}\! \left(x \right) F_{34}\! \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_{115}\! \left(x \right)+F_{137}\! \left(x \right)<br />
  
    F_{143}\! \left(x \right) = F_{144}\! \left(x \right)+F_{149}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = 2 F_{98}\! \left(x \right)+F_{145}\! \left(x \right)+F_{147}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{146}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{103}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{148}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{115}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = 3 F_{98}\! \left(x \right)+F_{150}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{106}\! \left(x \right)+F_{149}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{137}\! \left(x \right)+F_{149}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{127}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = F_{156}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{157}\! \left(x \right) F_{158}\! \left(x \right) F_{34}\! \left(x \right) F_{63}\! \left(x \right) F_{75}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{125}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{131}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{160}\! \left(x \right)+F_{168}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{161}\! \left(x \right) F_{162}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = x^{2} F_{161} \left(x \right)^{2}+2 x^{2} F_{161}\! \left(x \right)-2 x F_{161} \left(x \right)^{2}+x^{2}-3 x F_{161}\! \left(x \right)-x +2 F_{161}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{163}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{164}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)+F_{166}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{34}\! \left(x \right) F_{76}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{163}\! \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_{186}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{161}\! \left(x \right)+F_{171}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{172}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = \frac{F_{173}\! \left(x \right)}{F_{175}\! \left(x \right) F_{34}\! \left(x \right)}<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{175}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = \frac{F_{176}\! \left(x \right)}{F_{0}\! \left(x \right)}<br />
  
    F_{176}\! \left(x \right) = -F_{179}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = \frac{F_{178}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{178}\! \left(x \right) = F_{51}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = -F_{185}\! \left(x \right)+F_{180}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = \frac{F_{181}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{181}\! \left(x \right) = F_{182}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = -F_{2}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{184}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{0}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{175}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = \frac{F_{187}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{187}\! \left(x \right) = F_{188}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{189}\! \left(x \right)+F_{190}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{161}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{192}\! \left(x \right) F_{34}\! \left(x \right) F_{75}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{161}\! \left(x \right)+F_{58}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{175}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{197}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = F_{198}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = F_{157}\! \left(x \right) F_{158}\! \left(x \right) F_{34}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{199}\! \left(x \right) = \frac{F_{200}\! \left(x \right)}{F_{2}\! \left(x \right)}<br />
  
    F_{200}\! \left(x \right) = -F_{237}\! \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_{34}\! \left(x \right)<br />
  
    F_{203}\! \left(x \right) = \frac{F_{204}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{204}\! \left(x \right) = F_{205}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = -F_{235}\! \left(x \right)+F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = \frac{F_{207}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{207}\! \left(x \right) = F_{208}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = -F_{234}\! \left(x \right)+F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{210}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{211}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{212}\! \left(x \right)+F_{233}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)+F_{229}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{184}\! \left(x \right)+F_{214}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)+F_{220}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{216}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{175}\! \left(x \right) F_{217}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{114}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{114}\! \left(x \right) F_{20}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = F_{221}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{222}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = F_{223}\! \left(x \right)+F_{228}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{224}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{175}\! \left(x \right) F_{225}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = \frac{F_{226}\! \left(x \right)}{F_{34}\! \left(x \right) F_{63}\! \left(x \right)}<br />
  
    F_{226}\! \left(x \right) = F_{227}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = -F_{8}\! \left(x \right)+F_{53}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{214}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = F_{2}\! \left(x \right) F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{20}\! \left(x \right) F_{34}\! \left(x \right)}<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = -F_{213}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{175}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{2}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{236}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = -F_{63}\! \left(x \right)+F_{175}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = -F_{240}\! \left(x \right)+F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = \frac{F_{239}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{239}\! \left(x \right) = F_{182}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{242}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right)+F_{244}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{217}\! \left(x \right) F_{230}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{225}\! \left(x \right) F_{230}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{247}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{161}\! \left(x \right) F_{248}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{249}\! \left(x \right)+F_{257}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{114}\! \left(x \right) F_{250}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{251}\! \left(x \right)+F_{254}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = F_{217}\! \left(x \right)+F_{252}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{253}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = F_{172}\! \left(x \right) F_{20}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{254}\! \left(x \right) = F_{255}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = F_{256}\! \left(x \right)<br />
  
    F_{256}\! \left(x \right) = F_{248}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{258}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{114}\! \left(x \right) F_{259}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = \frac{F_{260}\! \left(x \right)}{F_{34}\! \left(x \right) F_{63}\! \left(x \right)}<br />
  
    F_{260}\! \left(x \right) = F_{261}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)+F_{263}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{45}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = -F_{671}\! \left(x \right)+F_{264}\! \left(x \right)<br />
  
    F_{264}\! \left(x \right) = -F_{650}\! \left(x \right)+F_{265}\! \left(x \right)<br />
  
    F_{265}\! \left(x \right) = -F_{346}\! \left(x \right)+F_{266}\! \left(x \right)<br />
  
    F_{266}\! \left(x \right) = \frac{F_{267}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{267}\! \left(x \right) = F_{268}\! \left(x \right)<br />
  
    F_{268}\! \left(x \right) = -F_{338}\! \left(x \right)+F_{269}\! \left(x \right)<br />
  
    F_{269}\! \left(x \right) = F_{270}\! \left(x \right)<br />
  
    F_{270}\! \left(x \right) = F_{271}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{271}\! \left(x \right) = F_{272}\! \left(x \right)+F_{336}\! \left(x \right)<br />
  
    F_{272}\! \left(x \right) = F_{273}\! \left(x \right)+F_{277}\! \left(x \right)<br />
  
    F_{273}\! \left(x \right) = F_{274}\! \left(x \right)<br />
  
    F_{274}\! \left(x \right) = \frac{F_{275}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{275}\! \left(x \right) = F_{276}\! \left(x \right)<br />
  
    F_{276}\! \left(x \right) = -F_{5}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{277}\! \left(x \right) = -F_{278}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{278}\! \left(x \right) = F_{279}\! \left(x \right)+F_{281}\! \left(x \right)<br />
  
    F_{279}\! \left(x \right) = F_{273}\! \left(x \right)+F_{280}\! \left(x \right)<br />
  
    F_{280}\! \left(x \right) = F_{29}\! \left(x \right)+F_{36}\! \left(x \right)<br />
  
    F_{281}\! \left(x \right) = F_{282}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{282}\! \left(x \right) = F_{280}\! \left(x \right)+F_{283}\! \left(x \right)<br />
  
    F_{283}\! \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_{20}\! \left(x \right) F_{286}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{286}\! \left(x \right) = \frac{F_{287}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{287}\! \left(x \right) = F_{288}\! \left(x \right)<br />
  
    F_{288}\! \left(x \right) = -F_{299}\! \left(x \right)+F_{289}\! \left(x \right)<br />
  
    F_{289}\! \left(x \right) = -F_{292}\! \left(x \right)+F_{290}\! \left(x \right)<br />
  
    F_{290}\! \left(x \right) = \frac{F_{291}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{291}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{292}\! \left(x \right) = F_{293}\! \left(x \right)+F_{296}\! \left(x \right)<br />
  
    F_{293}\! \left(x \right) = F_{183}\! \left(x \right)+F_{294}\! \left(x \right)<br />
  
    F_{294}\! \left(x \right) = F_{295}\! \left(x \right)<br />
  
    F_{295}\! \left(x \right) = F_{114}\! \left(x \right) F_{194}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{296}\! \left(x \right) = F_{297}\! \left(x \right)<br />
  
    F_{297}\! \left(x \right) = F_{112}\! \left(x \right) F_{158}\! \left(x \right) F_{298}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{298}\! \left(x \right) = F_{194}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{299}\! \left(x \right) = -F_{335}\! \left(x \right)+F_{300}\! \left(x \right)<br />
  
    F_{300}\! \left(x \right) = -F_{331}\! \left(x \right)+F_{301}\! \left(x \right)<br />
  
    F_{301}\! \left(x \right) = \frac{F_{302}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{302}\! \left(x \right) = F_{303}\! \left(x \right)<br />
  
    F_{303}\! \left(x \right) = -F_{161}\! \left(x \right)+F_{304}\! \left(x \right)<br />
  
    F_{304}\! \left(x \right) = -F_{307}\! \left(x \right)+F_{305}\! \left(x \right)<br />
  
    F_{305}\! \left(x \right) = \frac{F_{306}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{306}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{307}\! \left(x \right) = F_{1}\! \left(x \right)+F_{308}\! \left(x \right)<br />
  
    F_{308}\! \left(x \right) = F_{309}\! \left(x \right)<br />
  
    F_{309}\! \left(x \right) = F_{310}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{310}\! \left(x \right) = F_{311}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{311}\! \left(x \right) = F_{312}\! \left(x \right)+F_{319}\! \left(x \right)<br />
  
    F_{312}\! \left(x \right) = F_{313}\! \left(x \right)<br />
  
    F_{313}\! \left(x \right) = F_{314}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{314}\! \left(x \right) = F_{315}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{315}\! \left(x \right) = F_{316}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{316}\! \left(x \right) = F_{317}\! \left(x \right)+F_{318}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{317}\! \left(x \right) = F_{34}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{318}\! \left(x \right) = F_{315}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{319}\! \left(x \right) = F_{320}\! \left(x \right)+F_{324}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{320}\! \left(x \right) = F_{321}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{321}\! \left(x \right) = F_{322}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{322}\! \left(x \right) = F_{323}\! \left(x \right)+F_{328}\! \left(x \right)<br />
  
    F_{323}\! \left(x \right) = F_{165}\! \left(x \right)+F_{324}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{324}\! \left(x \right) = F_{325}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{325}\! \left(x \right) = F_{326}\! \left(x \right)+F_{327}\! \left(x \right)<br />
  
    F_{326}\! \left(x \right) = F_{323}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{327}\! \left(x \right) = F_{316}\! \left(x \right)+F_{328}\! \left(x \right)<br />
  
    F_{328}\! \left(x \right) = 2 F_{98}\! \left(x \right)+F_{329}\! \left(x \right)+F_{330}\! \left(x \right)<br />
  
    F_{329}\! \left(x \right) = F_{34}\! \left(x \right) F_{83}\! \left(x \right)<br />
  
    F_{330}\! \left(x \right) = F_{322}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{331}\! \left(x \right) = -F_{334}\! \left(x \right)+F_{332}\! \left(x \right)<br />
  
    F_{332}\! \left(x \right) = \frac{F_{333}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{333}\! \left(x \right) = F_{304}\! \left(x \right)<br />
  
    F_{334}\! \left(x \right) = F_{289}\! \left(x \right)+F_{305}\! \left(x \right)<br />
  
    F_{335}\! \left(x \right) = F_{303}\! \left(x \right)+F_{308}\! \left(x \right)<br />
  
    F_{336}\! \left(x \right) = F_{337}\! \left(x \right)<br />
  
    F_{337}\! \left(x \right) = F_{284}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{338}\! \left(x \right) = F_{339}\! \left(x \right)<br />
  
    F_{339}\! \left(x \right) = F_{34}\! \left(x \right) F_{340}\! \left(x \right)<br />
  
    F_{340}\! \left(x \right) = F_{341}\! \left(x \right)+F_{345}\! \left(x \right)<br />
  
    F_{341}\! \left(x \right) = F_{342}\! \left(x \right)+F_{343}\! \left(x \right)<br />
  
    F_{342}\! \left(x \right) = F_{161}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{343}\! \left(x \right) = F_{183}\! \left(x \right)+F_{344}\! \left(x \right)<br />
  
    F_{344}\! \left(x \right) = F_{2}\! \left(x \right) F_{58}\! \left(x \right)<br />
  
    F_{345}\! \left(x \right) = F_{161}\! \left(x \right) F_{34}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{346}\! \left(x \right) = F_{347}\! \left(x \right)+F_{351}\! \left(x \right)<br />
  
    F_{347}\! \left(x \right) = F_{348}\! \left(x \right)<br />
  
    F_{348}\! \left(x \right) = F_{161}\! \left(x \right) F_{349}\! \left(x \right)<br />
  
    F_{349}\! \left(x \right) = F_{350}\! \left(x \right)+F_{45}\! \left(x \right)<br />
  
    F_{350}\! \left(x \right) = F_{14}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{351}\! \left(x \right) = -F_{536}\! \left(x \right)+F_{352}\! \left(x \right)<br />
  
    F_{352}\! \left(x \right) = F_{353}\! \left(x \right)<br />
  
    F_{353}\! \left(x \right) = F_{34}\! \left(x \right) F_{354}\! \left(x \right)<br />
  
    F_{354}\! \left(x \right) = F_{355}\! \left(x \right)+F_{368}\! \left(x \right)<br />
  
    F_{355}\! \left(x \right) = F_{356}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{356}\! \left(x \right) = \frac{F_{357}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{357}\! \left(x \right) = F_{358}\! \left(x \right)<br />
  
    F_{358}\! \left(x \right) = F_{33}\! \left(x \right)+F_{359}\! \left(x \right)<br />
  
    F_{359}\! \left(x \right) = F_{10}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{360}\! \left(x \right) = \frac{F_{361}\! \left(x \right)}{F_{307}\! \left(x \right)}<br />
  
    F_{361}\! \left(x \right) = -F_{364}\! \left(x \right)+F_{362}\! \left(x \right)<br />
  
    F_{362}\! \left(x \right) = \frac{F_{363}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{363}\! \left(x \right) = F_{304}\! \left(x \right)<br />
  
    F_{364}\! \left(x \right) = -F_{367}\! \left(x \right)+F_{365}\! \left(x \right)<br />
  
    F_{365}\! \left(x \right) = \frac{F_{366}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{366}\! \left(x \right) = F_{303}\! \left(x \right)<br />
  
    F_{367}\! \left(x \right) = F_{308}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{368}\! \left(x \right) = F_{369}\! \left(x \right) F_{532}\! \left(x \right)<br />
  
    F_{369}\! \left(x \right) = F_{370}\! \left(x \right)+F_{372}\! \left(x \right)<br />
  
    F_{370}\! \left(x \right) = F_{371}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{371}\! \left(x \right) = F_{16}\! \left(x \right)+F_{33}\! \left(x \right)<br />
  
    F_{372}\! \left(x \right) = F_{373}\! \left(x \right)<br />
  
    F_{373}\! \left(x \right) = F_{34}\! \left(x \right) F_{374}\! \left(x \right)<br />
  
    F_{374}\! \left(x \right) = F_{24}\! \left(x \right)+F_{375}\! \left(x \right)<br />
  
    F_{375}\! \left(x \right) = F_{376}\! \left(x \right)<br />
  
    F_{376}\! \left(x \right) = F_{34}\! \left(x \right) F_{377}\! \left(x \right)<br />
  
    F_{377}\! \left(x \right) = \frac{F_{378}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{378}\! \left(x \right) = F_{379}\! \left(x \right)<br />
  
    F_{379}\! \left(x \right) = -F_{525}\! \left(x \right)+F_{380}\! \left(x \right)<br />
  
    F_{380}\! \left(x \right) = \frac{F_{381}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{381}\! \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_{34}\! \left(x \right) F_{384}\! \left(x \right)<br />
  
    F_{384}\! \left(x \right) = \frac{F_{385}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{385}\! \left(x \right) = F_{386}\! \left(x \right)<br />
  
    F_{386}\! \left(x \right) = \frac{F_{387}\! \left(x \right)}{F_{75}\! \left(x \right)}<br />
  
    F_{387}\! \left(x \right) = -F_{524}\! \left(x \right)+F_{388}\! \left(x \right)<br />
  
    F_{388}\! \left(x \right) = -F_{499}\! \left(x \right)+F_{389}\! \left(x \right)<br />
  
    F_{389}\! \left(x \right) = \frac{F_{390}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{390}\! \left(x \right) = F_{391}\! \left(x \right)<br />
  
    F_{391}\! \left(x \right) = -F_{498}\! \left(x \right)+F_{392}\! \left(x \right)<br />
  
    F_{392}\! \left(x \right) = -F_{310}\! \left(x \right)+F_{393}\! \left(x \right)<br />
  
    F_{393}\! \left(x \right) = F_{394}\! \left(x \right)+F_{395}\! \left(x \right)<br />
  
    F_{394}\! \left(x \right) = F_{0}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{395}\! \left(x \right) = F_{396}\! \left(x \right)+F_{489}\! \left(x \right)<br />
  
    F_{396}\! \left(x \right) = F_{397}\! \left(x \right)<br />
  
    F_{397}\! \left(x \right) = F_{34}\! \left(x \right) F_{398}\! \left(x \right)<br />
  
    F_{398}\! \left(x \right) = F_{399}\! \left(x \right)+F_{405}\! \left(x \right)<br />
  
    F_{399}\! \left(x \right) = F_{400}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{400}\! \left(x \right) = F_{396}\! \left(x \right)+F_{401}\! \left(x \right)<br />
  
    F_{401}\! \left(x \right) = F_{402}\! \left(x \right)<br />
  
    F_{402}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right) F_{403}\! \left(x \right)<br />
  
    F_{403}\! \left(x \right) = F_{404}\! \left(x \right)<br />
  
    F_{404}\! \left(x \right) = F_{286}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{405}\! \left(x \right) = F_{406}\! \left(x \right)<br />
  
    F_{406}\! \left(x \right) = F_{34}\! \left(x \right) F_{407}\! \left(x \right)<br />
  
    F_{407}\! \left(x \right) = \frac{F_{408}\! \left(x \right)}{F_{34}\! \left(x \right) F_{75}\! \left(x \right)}<br />
  
    F_{408}\! \left(x \right) = F_{409}\! \left(x \right)<br />
  
    F_{409}\! \left(x \right) = F_{410}\! \left(x \right)+F_{411}\! \left(x \right)<br />
  
    F_{410}\! \left(x \right) = F_{163}\! \left(x \right) F_{217}\! \left(x \right)<br />
  
    F_{411}\! \left(x \right) = F_{412}\! \left(x \right)<br />
  
    F_{412}\! \left(x \right) = F_{172}\! \left(x \right) F_{34}\! \left(x \right) F_{413}\! \left(x \right)<br />
  
    F_{413}\! \left(x \right) = F_{414}\! \left(x \right)<br />
  
    F_{414}\! \left(x \right) = F_{34}\! \left(x \right) F_{415}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{415}\! \left(x \right) = F_{416}\! \left(x \right)+F_{485}\! \left(x \right)<br />
  
    F_{416}\! \left(x \right) = F_{417}\! \left(x \right)+F_{483}\! \left(x \right)<br />
  
    F_{417}\! \left(x \right) = F_{418}\! \left(x \right)+F_{470}\! \left(x \right)<br />
  
    F_{418}\! \left(x \right) = F_{0}\! \left(x \right)+F_{419}\! \left(x \right)<br />
  
    F_{419}\! \left(x \right) = F_{420}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{420}\! \left(x \right) = F_{421}\! \left(x \right)<br />
  
    F_{421}\! \left(x \right) = F_{34}\! \left(x \right) F_{422}\! \left(x \right)<br />
  
    F_{422}\! \left(x \right) = F_{423}\! \left(x \right)+F_{424}\! \left(x \right)<br />
  
    F_{423}\! \left(x \right) = F_{2}\! \left(x \right)+F_{420}\! \left(x \right)<br />
  
    F_{424}\! \left(x \right) = F_{425}\! \left(x \right)<br />
  
    F_{425}\! \left(x \right) = F_{34}\! \left(x \right) F_{426}\! \left(x \right)<br />
  
    F_{426}\! \left(x \right) = F_{427}\! \left(x \right)+F_{432}\! \left(x \right)<br />
  
    F_{427}\! \left(x \right) = F_{428}\! \left(x \right)+F_{429}\! \left(x \right)<br />
  
    F_{428}\! \left(x \right) = F_{4}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{429}\! \left(x \right) = F_{430}\! \left(x \right)<br />
  
    F_{430}\! \left(x \right) = F_{34}\! \left(x \right) F_{415}\! \left(x \right) F_{431}\! \left(x \right)<br />
  
    F_{431}\! \left(x \right) = F_{288}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{432}\! \left(x \right) = -F_{467}\! \left(x \right)+F_{433}\! \left(x \right)<br />
  
    F_{433}\! \left(x \right) = \frac{F_{434}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{434}\! \left(x \right) = F_{435}\! \left(x \right)<br />
  
    F_{435}\! \left(x \right) = -F_{465}\! \left(x \right)+F_{436}\! \left(x \right)<br />
  
    F_{436}\! \left(x \right) = F_{10}\! \left(x \right)+F_{437}\! \left(x \right)<br />
  
    F_{437}\! \left(x \right) = F_{438}\! \left(x \right)<br />
  
    F_{438}\! \left(x \right) = F_{34}\! \left(x \right) F_{439}\! \left(x \right)<br />
  
    F_{439}\! \left(x \right) = -F_{463}\! \left(x \right)+F_{440}\! \left(x \right)<br />
  
    F_{440}\! \left(x \right) = \frac{F_{441}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{441}\! \left(x \right) = F_{442}\! \left(x \right)<br />
  
    F_{442}\! \left(x \right) = -F_{460}\! \left(x \right)+F_{443}\! \left(x \right)<br />
  
    F_{443}\! \left(x \right) = -F_{446}\! \left(x \right)+F_{444}\! \left(x \right)<br />
  
    F_{444}\! \left(x \right) = \frac{F_{445}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{445}\! \left(x \right) = F_{395}\! \left(x \right)<br />
  
    F_{446}\! \left(x \right) = F_{447}\! \left(x \right)+F_{448}\! \left(x \right)<br />
  
    F_{447}\! \left(x \right) = F_{399}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{448}\! \left(x \right) = F_{217}\! \left(x \right) F_{449}\! \left(x \right)<br />
  
    F_{449}\! \left(x \right) = F_{450}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{450}\! \left(x \right) = F_{166}\! \left(x \right)+F_{451}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{451}\! \left(x \right) = F_{34}\! \left(x \right) F_{452}\! \left(x \right)<br />
  
    F_{452}\! \left(x \right) = F_{453}\! \left(x \right)+F_{454}\! \left(x \right)<br />
  
    F_{453}\! \left(x \right) = F_{450}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{454}\! \left(x \right) = F_{164}\! \left(x \right)+F_{455}\! \left(x \right)<br />
  
    F_{455}\! \left(x \right) = F_{456}\! \left(x \right)+F_{457}\! \left(x \right)+F_{459}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{456}\! \left(x \right) = F_{34}\! \left(x \right) F_{450}\! \left(x \right)<br />
  
    F_{457}\! \left(x \right) = F_{34}\! \left(x \right) F_{458}\! \left(x \right)<br />
  
    F_{458}\! \left(x \right) = F_{454}\! \left(x \right)<br />
  
    F_{459}\! \left(x \right) = 0<br />
  
    F_{460}\! \left(x \right) = F_{461}\! \left(x \right)<br />
  
    F_{461}\! \left(x \right) = F_{34}\! \left(x \right) F_{440}\! \left(x \right) F_{462}\! \left(x \right)<br />
  
    F_{462}\! \left(x \right) = F_{449}\! \left(x \right)+F_{76}\! \left(x \right)<br />
  
    F_{463}\! \left(x \right) = \frac{F_{464}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{464}\! \left(x \right) = F_{419}\! \left(x \right)<br />
  
    F_{465}\! \left(x \right) = F_{2}\! \left(x \right)+F_{466}\! \left(x \right)<br />
  
    F_{466}\! \left(x \right) = F_{112}\! \left(x \right) F_{80}\! \left(x \right)<br />
  
    F_{467}\! \left(x \right) = F_{14}\! \left(x \right)+F_{468}\! \left(x \right)<br />
  
    F_{468}\! \left(x \right) = F_{420}\! \left(x \right)+F_{469}\! \left(x \right)<br />
  
    F_{469}\! \left(x \right) = -F_{11}\! \left(x \right)+F_{435}\! \left(x \right)<br />
  
    F_{470}\! \left(x \right) = F_{33}\! \left(x \right)+F_{471}\! \left(x \right)<br />
  
    F_{471}\! \left(x \right) = -F_{396}\! \left(x \right)+F_{472}\! \left(x \right)<br />
  
    F_{472}\! \left(x \right) = F_{473}\! \left(x \right)<br />
  
    F_{473}\! \left(x \right) = F_{34}\! \left(x \right) F_{474}\! \left(x \right)<br />
  
    F_{474}\! \left(x \right) = F_{427}\! \left(x \right)+F_{475}\! \left(x \right)<br />
  
    F_{475}\! \left(x \right) = -F_{481}\! \left(x \right)+F_{476}\! \left(x \right)<br />
  
    F_{476}\! \left(x \right) = \frac{F_{477}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{477}\! \left(x \right) = F_{478}\! \left(x \right)<br />
  
    F_{478}\! \left(x \right) = F_{396}\! \left(x \right)+F_{479}\! \left(x \right)<br />
  
    F_{479}\! \left(x \right) = F_{480}\! \left(x \right)<br />
  
    F_{480}\! \left(x \right) = F_{255}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{481}\! \left(x \right) = F_{255}\! \left(x \right)+F_{482}\! \left(x \right)<br />
  
    F_{482}\! \left(x \right) = F_{418}\! \left(x \right)+F_{424}\! \left(x \right)<br />
  
    F_{483}\! \left(x \right) = F_{484}\! \left(x \right)<br />
  
    F_{484}\! \left(x \right) = F_{34}\! \left(x \right) F_{415}\! \left(x \right)<br />
  
    F_{485}\! \left(x \right) = F_{486}\! \left(x \right)<br />
  
    F_{486}\! \left(x \right) = F_{34}\! \left(x \right) F_{487}\! \left(x \right)<br />
  
    F_{487}\! \left(x \right) = \frac{F_{488}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{488}\! \left(x \right) = F_{432}\! \left(x \right)<br />
  
    F_{489}\! \left(x \right) = F_{490}\! \left(x \right)<br />
  
    F_{490}\! \left(x \right) = F_{34}\! \left(x \right) F_{491}\! \left(x \right)<br />
  
    F_{491}\! \left(x \right) = F_{492}\! \left(x \right)+F_{493}\! \left(x \right)<br />
  
    F_{492}\! \left(x \right) = F_{398}\! \left(x \right) F_{76}\! \left(x \right)<br />
  
    F_{493}\! \left(x \right) = F_{449}\! \left(x \right) F_{494}\! \left(x \right)<br />
  
    F_{494}\! \left(x \right) = F_{418}\! \left(x \right)+F_{495}\! \left(x \right)<br />
  
    F_{495}\! \left(x \right) = F_{496}\! \left(x \right)<br />
  
    F_{496}\! \left(x \right) = F_{34}\! \left(x \right) F_{497}\! \left(x \right)<br />
  
    F_{497}\! \left(x \right) = F_{432}\! \left(x \right)+F_{494}\! \left(x \right)<br />
  
    F_{498}\! \left(x \right) = F_{2}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{499}\! \left(x \right) = F_{500}\! \left(x \right)+F_{503}\! \left(x \right)<br />
  
    F_{500}\! \left(x \right) = F_{501}\! \left(x \right)+F_{502}\! \left(x \right)<br />
  
    F_{501}\! \left(x \right) = F_{423}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{502}\! \left(x \right) = F_{2}\! \left(x \right) F_{449}\! \left(x \right)<br />
  
    F_{503}\! \left(x \right) = F_{504}\! \left(x \right)<br />
  
    F_{504}\! \left(x \right) = F_{34}\! \left(x \right) F_{505}\! \left(x \right)<br />
  
    F_{505}\! \left(x \right) = F_{506}\! \left(x \right)+F_{514}\! \left(x \right)<br />
  
    F_{506}\! \left(x \right) = F_{507}\! \left(x \right)<br />
  
    F_{507}\! \left(x \right) = F_{2}\! \left(x \right) F_{508}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{508}\! \left(x \right) = \frac{F_{509}\! \left(x \right)}{F_{217}\! \left(x \right) F_{34}\! \left(x \right) F_{82}\! \left(x \right)}<br />
  
    F_{509}\! \left(x \right) = F_{510}\! \left(x \right)<br />
  
    F_{510}\! \left(x \right) = F_{325}\! \left(x \right)+F_{511}\! \left(x \right)<br />
  
    F_{511}\! \left(x \right) = F_{512}\! \left(x \right)<br />
  
    F_{512}\! \left(x \right) = F_{34}\! \left(x \right) F_{508}\! \left(x \right) F_{513}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{513}\! \left(x \right) = F_{112}\! \left(x \right)+F_{218}\! \left(x \right)<br />
  
    F_{514}\! \left(x \right) = F_{515}\! \left(x \right)<br />
  
    F_{515}\! \left(x \right) = F_{34}\! \left(x \right) F_{516}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{516}\! \left(x \right) = \frac{F_{517}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{517}\! \left(x \right) = F_{518}\! \left(x \right)<br />
  
    F_{518}\! \left(x \right) = -F_{521}\! \left(x \right)+F_{519}\! \left(x \right)<br />
  
    F_{519}\! \left(x \right) = \frac{F_{520}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{520}\! \left(x \right) = F_{391}\! \left(x \right)<br />
  
    F_{521}\! \left(x \right) = F_{395}\! \left(x \right)+F_{522}\! \left(x \right)<br />
  
    F_{522}\! \left(x \right) = F_{523}\! \left(x \right)<br />
  
    F_{523}\! \left(x \right) = F_{471}\! \left(x \right) F_{75}\! \left(x \right)<br />
  
    F_{524}\! \left(x \right) = F_{449}\! \left(x \right) F_{495}\! \left(x \right)<br />
  
    F_{525}\! \left(x \right) = F_{526}\! \left(x \right)+F_{528}\! \left(x \right)<br />
  
    F_{526}\! \left(x \right) = \frac{F_{527}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{527}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{528}\! \left(x \right) = F_{529}\! \left(x \right)<br />
  
    F_{529}\! \left(x \right) = F_{34}\! \left(x \right) F_{530}\! \left(x \right)<br />
  
    F_{530}\! \left(x \right) = \frac{F_{531}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{531}\! \left(x \right) = F_{277}\! \left(x \right)<br />
  
    F_{532}\! \left(x \right) = F_{533}\! \left(x \right)<br />
  
    F_{533}\! \left(x \right) = F_{34}\! \left(x \right) F_{534}\! \left(x \right)<br />
  
    F_{534}\! \left(x \right) = \frac{F_{535}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{535}\! \left(x \right) = F_{58}\! \left(x \right)<br />
  
    F_{536}\! \left(x \right) = F_{537}\! \left(x \right)<br />
  
    F_{537}\! \left(x \right) = F_{161}\! \left(x \right) F_{538}\! \left(x \right)<br />
  
    F_{538}\! \left(x \right) = -F_{556}\! \left(x \right)+F_{539}\! \left(x \right)<br />
  
    F_{539}\! \left(x \right) = F_{540}\! \left(x \right)+F_{553}\! \left(x \right)<br />
  
    F_{540}\! \left(x \right) = F_{541}\! \left(x \right)+F_{542}\! \left(x \right)<br />
  
    F_{541}\! \left(x \right) = F_{4}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{542}\! \left(x \right) = F_{543}\! \left(x \right)<br />
  
    F_{543}\! \left(x \right) = F_{34}\! \left(x \right) F_{544}\! \left(x \right)<br />
  
    F_{544}\! \left(x \right) = F_{545}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{545}\! \left(x \right) = F_{546}\! \left(x \right)+F_{550}\! \left(x \right)<br />
  
    F_{546}\! \left(x \right) = F_{25}\! \left(x \right)+F_{547}\! \left(x \right)<br />
  
    F_{547}\! \left(x \right) = F_{4}\! \left(x \right)+F_{548}\! \left(x \right)<br />
  
    F_{548}\! \left(x \right) = F_{549}\! \left(x \right)<br />
  
    F_{549}\! \left(x \right) = F_{34}\! \left(x \right) F_{544}\! \left(x \right)<br />
  
    F_{550}\! \left(x \right) = F_{371}\! \left(x \right)<br />
  
    F_{551}\! \left(x \right) = F_{552}\! \left(x \right)<br />
  
    F_{552}\! \left(x \right) = F_{34}\! \left(x \right) F_{377}\! \left(x \right)<br />
  
    F_{553}\! \left(x \right) = F_{554}\! \left(x \right)<br />
  
    F_{554}\! \left(x \right) = F_{34}\! \left(x \right) F_{555}\! \left(x \right)<br />
  
    F_{555}\! \left(x \right) = F_{369}\! \left(x \right)+F_{375}\! \left(x \right)<br />
  
    F_{556}\! \left(x \right) = -F_{608}\! \left(x \right)+F_{557}\! \left(x \right)<br />
  
    F_{557}\! \left(x \right) = -F_{563}\! \left(x \right)+F_{558}\! \left(x \right)<br />
  
    F_{558}\! \left(x \right) = -F_{561}\! \left(x \right)+F_{559}\! \left(x \right)<br />
  
    F_{559}\! \left(x \right) = \frac{F_{560}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{560}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{561}\! \left(x \right) = F_{34}\! \left(x \right) F_{562}\! \left(x \right)<br />
  
    F_{562}\! \left(x \right) = F_{18}\! \left(x \right)+F_{540}\! \left(x \right)<br />
  
    F_{563}\! \left(x \right) = F_{564}\! \left(x \right)+F_{573}\! \left(x \right)<br />
  
    F_{564}\! \left(x \right) = -F_{569}\! \left(x \right)+F_{565}\! \left(x \right)<br />
  
    F_{565}\! \left(x \right) = \frac{F_{566}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{566}\! \left(x \right) = F_{567}\! \left(x \right)<br />
  
    F_{567}\! \left(x \right) = F_{338}\! \left(x \right)+F_{568}\! \left(x \right)<br />
  
    F_{568}\! \left(x \right) = F_{2}\! \left(x \right) F_{95}\! \left(x \right)<br />
  
    F_{569}\! \left(x \right) = F_{570}\! \left(x \right)<br />
  
    F_{570}\! \left(x \right) = F_{34}\! \left(x \right) F_{571}\! \left(x \right)<br />
  
    F_{571}\! \left(x \right) = F_{4}\! \left(x \right)+F_{572}\! \left(x \right)<br />
  
    F_{572}\! \left(x \right) = F_{2}\! \left(x \right) F_{431}\! \left(x \right)<br />
  
    F_{573}\! \left(x \right) = F_{349}\! \left(x \right)+F_{574}\! \left(x \right)<br />
  
    F_{574}\! \left(x \right) = -F_{350}\! \left(x \right)+F_{575}\! \left(x \right)<br />
  
    F_{575}\! \left(x \right) = -F_{581}\! \left(x \right)+F_{576}\! \left(x \right)<br />
  
    F_{576}\! \left(x \right) = \frac{F_{577}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{577}\! \left(x \right) = F_{578}\! \left(x \right)<br />
  
    F_{578}\! \left(x \right) = -F_{579}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{579}\! \left(x \right) = F_{580}\! \left(x \right)<br />
  
    F_{580}\! \left(x \right) = F_{34}\! \left(x \right) F_{341}\! \left(x \right)<br />
  
    F_{581}\! \left(x \right) = F_{582}\! \left(x \right)+F_{605}\! \left(x \right)<br />
  
    F_{582}\! \left(x \right) = F_{583}\! \left(x \right)<br />
  
    F_{583}\! \left(x \right) = -F_{584}\! \left(x \right)+F_{274}\! \left(x \right)<br />
  
    F_{584}\! \left(x \right) = -F_{587}\! \left(x \right)+F_{585}\! \left(x \right)<br />
  
    F_{585}\! \left(x \right) = \frac{F_{586}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{586}\! \left(x \right) = F_{276}\! \left(x \right)<br />
  
    F_{587}\! \left(x \right) = F_{588}\! \left(x \right)<br />
  
    F_{588}\! \left(x \right) = -F_{604}\! \left(x \right)+F_{589}\! \left(x \right)<br />
  
    F_{589}\! \left(x \right) = \frac{F_{590}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{590}\! \left(x \right) = F_{591}\! \left(x \right)<br />
  
    F_{591}\! \left(x \right) = -F_{603}\! \left(x \right)+F_{592}\! \left(x \right)<br />
  
    F_{592}\! \left(x \right) = -F_{597}\! \left(x \right)+F_{593}\! \left(x \right)<br />
  
    F_{593}\! \left(x \right) = F_{36}\! \left(x \right)+F_{594}\! \left(x \right)<br />
  
    F_{594}\! \left(x \right) = F_{595}\! \left(x \right)<br />
  
    F_{595}\! \left(x \right) = F_{34}\! \left(x \right) F_{596}\! \left(x \right)<br />
  
    F_{596}\! \left(x \right) = F_{26}\! \left(x \right)+F_{379}\! \left(x \right)<br />
  
    F_{597}\! \left(x \right) = F_{598}\! \left(x \right)+F_{599}\! \left(x \right)<br />
  
    F_{598}\! \left(x \right) = F_{0}\! \left(x \right)+F_{396}\! \left(x \right)<br />
  
    F_{599}\! \left(x \right) = F_{600}\! \left(x \right)+F_{602}\! \left(x \right)<br />
  
    F_{600}\! \left(x \right) = F_{601}\! \left(x \right)<br />
  
    F_{601}\! \left(x \right) = F_{280}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{602}\! \left(x \right) = -F_{396}\! \left(x \right)+F_{382}\! \left(x \right)<br />
  
    F_{603}\! \left(x \right) = F_{479}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{604}\! \left(x \right) = F_{585}\! \left(x \right)<br />
  
    F_{605}\! \left(x \right) = F_{606}\! \left(x \right)<br />
  
    F_{606}\! \left(x \right) = -F_{607}\! \left(x \right)+F_{551}\! \left(x \right)<br />
  
    F_{607}\! \left(x \right) = F_{251}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{608}\! \left(x \right) = F_{609}\! \left(x \right)<br />
  
    F_{609}\! \left(x \right) = -F_{613}\! \left(x \right)+F_{610}\! \left(x \right)<br />
  
    F_{610}\! \left(x \right) = F_{611}\! \left(x \right)+F_{612}\! \left(x \right)<br />
  
    F_{611}\! \left(x \right) = F_{583}\! \left(x \right)<br />
  
    F_{612}\! \left(x \right) = F_{605}\! \left(x \right)<br />
  
    F_{613}\! \left(x \right) = -F_{617}\! \left(x \right)+F_{614}\! \left(x \right)<br />
  
    F_{614}\! \left(x \right) = F_{615}\! \left(x \right)<br />
  
    F_{615}\! \left(x \right) = F_{34}\! \left(x \right) F_{616}\! \left(x \right)<br />
  
    F_{616}\! \left(x \right) = F_{375}\! \left(x \right)+F_{525}\! \left(x \right)<br />
  
    F_{617}\! \left(x \right) = -F_{633}\! \left(x \right)+F_{618}\! \left(x \right)<br />
  
    F_{618}\! \left(x \right) = -F_{623}\! \left(x \right)+F_{619}\! \left(x \right)<br />
  
    F_{619}\! \left(x \right) = \frac{F_{620}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{620}\! \left(x \right) = F_{621}\! \left(x \right)<br />
  
    F_{621}\! \left(x \right) = F_{34}\! \left(x \right) F_{622}\! \left(x \right)<br />
  
    F_{622}\! \left(x \right) = F_{396}\! \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_{34}\! \left(x \right) F_{625}\! \left(x \right)<br />
  
    F_{625}\! \left(x \right) = -F_{628}\! \left(x \right)+F_{626}\! \left(x \right)<br />
  
    F_{626}\! \left(x \right) = \frac{F_{627}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{627}\! \left(x \right) = F_{599}\! \left(x \right)<br />
  
    F_{628}\! \left(x \right) = -F_{631}\! \left(x \right)+F_{629}\! \left(x \right)<br />
  
    F_{629}\! \left(x \right) = \frac{F_{630}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{630}\! \left(x \right) = F_{602}\! \left(x \right)<br />
  
    F_{631}\! \left(x \right) = F_{632}\! \left(x \right)<br />
  
    F_{632}\! \left(x \right) = F_{34}\! \left(x \right) F_{374}\! \left(x \right)<br />
  
    F_{633}\! \left(x \right) = -F_{646}\! \left(x \right)+F_{634}\! \left(x \right)<br />
  
    F_{634}\! \left(x \right) = F_{635}\! \left(x \right)<br />
  
    F_{635}\! \left(x \right) = -F_{645}\! \left(x \right)+F_{636}\! \left(x \right)<br />
  
    F_{636}\! \left(x \right) = \frac{F_{637}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{637}\! \left(x \right) = F_{638}\! \left(x \right)<br />
  
    F_{638}\! \left(x \right) = -F_{644}\! \left(x \right)+F_{639}\! \left(x \right)<br />
  
    F_{639}\! \left(x \right) = -F_{641}\! \left(x \right)+F_{640}\! \left(x \right)<br />
  
    F_{640}\! \left(x \right) = F_{4}\! \left(x \right)+F_{478}\! \left(x \right)<br />
  
    F_{641}\! \left(x \right) = F_{642}\! \left(x \right)+F_{643}\! \left(x \right)<br />
  
    F_{642}\! \left(x \right) = F_{1}\! \left(x \right)+F_{312}\! \left(x \right)<br />
  
    F_{643}\! \left(x \right) = F_{2}\! \left(x \right) F_{95}\! \left(x \right)<br />
  
    F_{644}\! \left(x \right) = -F_{642}\! \left(x \right)+F_{598}\! \left(x \right)<br />
  
    F_{645}\! \left(x \right) = F_{30}\! \left(x \right) F_{95}\! \left(x \right)<br />
  
    F_{646}\! \left(x \right) = F_{479}\! \left(x \right)+F_{647}\! \left(x \right)<br />
  
    F_{647}\! \left(x \right) = F_{648}\! \left(x \right)<br />
  
    F_{648}\! \left(x \right) = F_{34}\! \left(x \right) F_{649}\! \left(x \right)<br />
  
    F_{649}\! \left(x \right) = F_{587}\! \left(x \right)<br />
  
    F_{650}\! \left(x \right) = F_{651}\! \left(x \right)<br />
  
    F_{651}\! \left(x \right) = -F_{668}\! \left(x \right)+F_{652}\! \left(x \right)<br />
  
    F_{652}\! \left(x \right) = F_{653}\! \left(x \right)<br />
  
    F_{653}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{654}\! \left(x \right)<br />
  
    F_{654}\! \left(x \right) = \frac{F_{655}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{655}\! \left(x \right) = F_{656}\! \left(x \right)<br />
  
    F_{656}\! \left(x \right) = -F_{664}\! \left(x \right)+F_{657}\! \left(x \right)<br />
  
    F_{657}\! \left(x \right) = F_{658}\! \left(x \right)+F_{660}\! \left(x \right)<br />
  
    F_{658}\! \left(x \right) = \frac{F_{659}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{659}\! \left(x \right) = F_{33}\! \left(x \right)<br />
  
    F_{660}\! \left(x \right) = F_{661}\! \left(x \right)<br />
  
    F_{661}\! \left(x \right) = F_{20}\! \left(x \right) F_{34}\! \left(x \right) F_{662}\! \left(x \right)<br />
  
    F_{662}\! \left(x \right) = \frac{F_{663}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{663}\! \left(x \right) = F_{288}\! \left(x \right)<br />
  
    F_{664}\! \left(x \right) = F_{665}\! \left(x \right)+F_{667}\! \left(x \right)<br />
  
    F_{665}\! \left(x \right) = F_{305}\! \left(x \right)+F_{666}\! \left(x \right)<br />
  
    F_{666}\! \left(x \right) = F_{2}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{667}\! \left(x \right) = F_{10}\! \left(x \right) F_{360}\! \left(x \right)<br />
  
    F_{668}\! \left(x \right) = F_{34}\! \left(x \right) F_{669}\! \left(x \right)<br />
  
    F_{669}\! \left(x \right) = -F_{342}\! \left(x \right)+F_{670}\! \left(x \right)<br />
  
    F_{670}\! \left(x \right) = F_{49}\! \left(x \right)+F_{548}\! \left(x \right)<br />
  
    F_{671}\! \left(x \right) = F_{672}\! \left(x \right)<br />
  
    F_{672}\! \left(x \right) = F_{34}\! \left(x \right) F_{673}\! \left(x \right) F_{704}\! \left(x \right)<br />
  
    F_{673}\! \left(x \right) = \frac{F_{674}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{674}\! \left(x \right) = -F_{677}\! \left(x \right)+F_{675}\! \left(x \right)<br />
  
    F_{675}\! \left(x \right) = \frac{F_{676}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{676}\! \left(x \right) = F_{606}\! \left(x \right)<br />
  
    F_{677}\! \left(x \right) = F_{678}\! \left(x \right)<br />
  
    F_{678}\! \left(x \right) = \frac{F_{679}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{679}\! \left(x \right) = F_{680}\! \left(x \right)<br />
  
    F_{680}\! \left(x \right) = F_{34}\! \left(x \right) F_{681}\! \left(x \right)<br />
  
    F_{681}\! \left(x \right) = -F_{684}\! \left(x \right)+F_{682}\! \left(x \right)<br />
  
    F_{682}\! \left(x \right) = \frac{F_{683}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{683}\! \left(x \right) = F_{528}\! \left(x \right)<br />
  
    F_{684}\! \left(x \right) = -F_{685}\! \left(x \right)+F_{530}\! \left(x \right)<br />
  
    F_{685}\! \left(x \right) = -F_{686}\! \left(x \right)+F_{377}\! \left(x \right)<br />
  
    F_{686}\! \left(x \right) = \frac{F_{687}\! \left(x \right)}{F_{175}\! \left(x \right) F_{34}\! \left(x \right)}<br />
  
    F_{687}\! \left(x \right) = F_{688}\! \left(x \right)<br />
  
    F_{688}\! \left(x \right) = -F_{703}\! \left(x \right)+F_{689}\! \left(x \right)<br />
  
    F_{689}\! \left(x \right) = \frac{F_{690}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{690}\! \left(x \right) = F_{691}\! \left(x \right)<br />
  
    F_{691}\! \left(x \right) = F_{692}\! \left(x \right)+F_{699}\! \left(x \right)<br />
  
    F_{692}\! \left(x \right) = F_{693}\! \left(x \right)<br />
  
    F_{693}\! \left(x \right) = F_{34}\! \left(x \right) F_{694}\! \left(x \right)<br />
  
    F_{694}\! \left(x \right) = F_{695}\! \left(x \right)+F_{698}\! \left(x \right)<br />
  
    F_{695}\! \left(x \right) = F_{4}\! \left(x \right)+F_{696}\! \left(x \right)<br />
  
    F_{696}\! \left(x \right) = F_{697}\! \left(x \right)<br />
  
    F_{697}\! \left(x \right) = F_{175}\! \left(x \right) F_{20}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{698}\! \left(x \right) = F_{216}\! \left(x \right)<br />
  
    F_{699}\! \left(x \right) = F_{700}\! \left(x \right)<br />
  
    F_{700}\! \left(x \right) = F_{34}\! \left(x \right) F_{701}\! \left(x \right)<br />
  
    F_{701}\! \left(x \right) = F_{235}\! \left(x \right)+F_{702}\! \left(x \right)<br />
  
    F_{702}\! \left(x \right) = F_{175}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{703}\! \left(x \right) = F_{526}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{704}\! \left(x \right) = F_{705}\! \left(x \right)<br />
  
    F_{705}\! \left(x \right) = F_{34}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{706}\! \left(x \right) = F_{707}\! \left(x \right)<br />
  
    F_{707}\! \left(x \right) = F_{34} \left(x \right)^{2} F_{562}\! \left(x \right)<br />
  
    F_{708}\! \left(x \right) = F_{709}\! \left(x \right)<br />
  
    F_{709}\! \left(x \right) = F_{34}\! \left(x \right) F_{710}\! \left(x \right)<br />
  
    F_{710}\! \left(x \right) = F_{400}\! \left(x \right)+F_{711}\! \left(x \right)<br />
  
    F_{711}\! \left(x \right) = -F_{432}\! \left(x \right)+F_{712}\! \left(x \right)<br />
  
    F_{712}\! \left(x \right) = \frac{F_{713}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{713}\! \left(x \right) = F_{602}\! \left(x \right)<br />
  
    F_{714}\! \left(x \right) = F_{0}\! \left(x \right)+F_{600}\! \left(x \right)<br />
  
    F_{715}\! \left(x \right) = F_{711}\! \left(x \right)+F_{716}\! \left(x \right)<br />
  
    F_{716}\! \left(x \right) = F_{255}\! \left(x \right)+F_{399}\! \left(x \right)<br />
  
    F_{717}\! \left(x \right) = \frac{F_{718}\! \left(x \right)}{F_{34}\! \left(x \right)}<br />
  
    F_{718}\! \left(x \right) = F_{288}\! \left(x \right)<br />
  
    F_{719}\! \left(x \right) = F_{246}\! \left(x \right)+F_{255}\! \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_34(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_6(x))<br />
  
    Eq(F_6(x), F_34(x)*F_7(x))<br />
  
    Eq(F_7(x), F_719(x) + F_8(x))<br />
  
    Eq(F_8(x), F_50(x) + F_9(x))<br />
  
    Eq(F_9(x), F_0(x) + F_10(x))<br />
  
    Eq(F_10(x), F_11(x) + F_2(x))<br />
  
    Eq(F_11(x), F_12(x))<br />
  
    Eq(F_12(x), F_13(x)*F_34(x))<br />
  
    Eq(F_13(x), F_14(x) + F_372(x))<br />
  
    Eq(F_14(x), F_15(x) + F_16(x))<br />
  
    Eq(F_15(x), F_11(x) + F_2(x))<br />
  
    Eq(F_16(x), F_17(x))<br />
  
    Eq(F_17(x), F_18(x)*F_34(x))<br />
  
    Eq(F_18(x), F_19(x))<br />
  
    Eq(F_19(x), F_20(x)*F_34(x)*F_717(x))<br />
  
    Eq(F_20(x), F_21(x) + F_4(x))<br />
  
    Eq(F_21(x), F_22(x))<br />
  
    Eq(F_22(x), F_23(x)*F_34(x))<br />
  
    Eq(F_23(x), F_24(x) + F_551(x))<br />
  
    Eq(F_24(x), F_20(x) + F_25(x))<br />
  
    Eq(F_25(x), F_26(x) - F_715(x))<br />
  
    Eq(F_26(x), F_27(x) - F_551(x))<br />
  
    Eq(F_27(x), F_28(x)/F_34(x))<br />
  
    Eq(F_28(x), F_29(x))<br />
  
    Eq(F_29(x), F_30(x) - F_35(x))<br />
  
    Eq(F_30(x), F_31(x)/F_34(x))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), -F_2(x) + F_33(x))<br />
  
    Eq(F_33(x), -F_0(x) + F_4(x))<br />
  
    Eq(F_34(x), x)<br />
  
    Eq(F_35(x), F_36(x) - F_714(x))<br />
  
    Eq(F_36(x), F_37(x) + F_4(x))<br />
  
    Eq(F_37(x), F_38(x) - F_708(x))<br />
  
    Eq(F_38(x), F_39(x))<br />
  
    Eq(F_39(x), F_34(x)*F_40(x))<br />
  
    Eq(F_40(x), F_41(x)/F_34(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_43(x) + F_706(x))<br />
  
    Eq(F_43(x), F_33(x) + F_44(x))<br />
  
    Eq(F_44(x), F_45(x) - F_5(x))<br />
  
    Eq(F_45(x), F_46(x))<br />
  
    Eq(F_46(x), F_34(x)*F_47(x))<br />
  
    Eq(F_47(x), F_48(x)/F_34(x))<br />
  
    Eq(F_48(x), F_49(x))<br />
  
    Eq(F_49(x), F_246(x) + F_50(x))<br />
  
    Eq(F_50(x), F_51(x) + F_55(x))<br />
  
    Eq(F_51(x), F_52(x))<br />
  
    Eq(F_52(x), F_34(x)*F_53(x))<br />
  
    Eq(F_53(x), F_54(x)/F_34(x))<br />
  
    Eq(F_54(x), F_5(x))<br />
  
    Eq(F_55(x), F_56(x))<br />
  
    Eq(F_56(x), F_20(x)*F_34(x)*F_57(x))<br />
  
    Eq(F_57(x), F_58(x))<br />
  
    Eq(F_58(x), F_59(x))<br />
  
    Eq(F_59(x), F_34(x)*F_60(x))<br />
  
    Eq(F_60(x), F_199(x) + F_61(x))<br />
  
    Eq(F_61(x), F_62(x) + F_64(x))<br />
  
    Eq(F_62(x), F_58(x) + F_63(x))<br />
  
    Eq(F_63(x), x*(x - 2)*F_63(x)**2 + (x + 2)*F_63(x) - 1)<br />
  
    Eq(F_64(x), F_65(x)/F_34(x))<br />
  
    Eq(F_65(x), F_66(x))<br />
  
    Eq(F_66(x), -F_194(x) + F_67(x))<br />
  
    Eq(F_67(x), F_68(x))<br />
  
    Eq(F_68(x), F_34(x)*F_69(x))<br />
  
    Eq(F_69(x), F_70(x)/(F_34(x)*F_75(x)*F_82(x)))<br />
  
    Eq(F_70(x), F_71(x))<br />
  
    Eq(F_71(x), -F_193(x) + F_72(x))<br />
  
    Eq(F_72(x), F_159(x) + F_73(x))<br />
  
    Eq(F_73(x), F_74(x) + F_86(x))<br />
  
    Eq(F_74(x), F_63(x)*F_75(x))<br />
  
    Eq(F_75(x), F_1(x) + F_76(x))<br />
  
    Eq(F_76(x), F_77(x))<br />
  
    Eq(F_77(x), F_34(x)*F_78(x))<br />
  
    Eq(F_78(x), F_75(x) + F_79(x))<br />
  
    Eq(F_79(x), F_80(x) + F_83(x))<br />
  
    Eq(F_80(x), F_81(x))<br />
  
    Eq(F_81(x), F_34(x)*F_82(x))<br />
  
    Eq(F_82(x), F_1(x) + F_80(x))<br />
  
    Eq(F_83(x), F_84(x))<br />
  
    Eq(F_84(x), F_34(x)*F_85(x))<br />
  
    Eq(F_85(x), F_76(x) + F_83(x))<br />
  
    Eq(F_86(x), F_87(x))<br />
  
    Eq(F_87(x), F_34(x)*F_88(x))<br />
  
    Eq(F_88(x), F_155(x) + F_89(x))<br />
  
    Eq(F_89(x), F_75(x)*F_82(x)*F_90(x))<br />
  
    Eq(F_90(x), F_62(x) + F_91(x))<br />
  
    Eq(F_91(x), F_92(x))<br />
  
    Eq(F_92(x), F_34(x)*F_62(x)*F_93(x))<br />
  
    Eq(F_93(x), F_110(x) + F_94(x))<br />
  
    Eq(F_94(x), F_95(x) + F_96(x))<br />
  
    Eq(F_95(x), F_1(x) + F_34(x))<br />
  
    Eq(F_96(x), F_76(x) + F_97(x))<br />
  
    Eq(F_97(x), F_109(x) + F_98(x) + F_99(x))<br />
  
    Eq(F_98(x), 0)<br />
  
    Eq(F_99(x), F_100(x)*F_34(x))<br />
  
    Eq(F_100(x), F_101(x) + F_102(x))<br />
  
    Eq(F_101(x), F_34(x) + F_97(x))<br />
  
    Eq(F_102(x), F_103(x) + F_106(x))<br />
  
    Eq(F_103(x), F_104(x))<br />
  
    Eq(F_104(x), F_105(x)*F_34(x))<br />
  
    Eq(F_105(x), F_103(x) + F_34(x))<br />
  
    Eq(F_106(x), F_107(x))<br />
  
    Eq(F_107(x), F_108(x)*F_34(x))<br />
  
    Eq(F_108(x), F_106(x) + F_97(x))<br />
  
    Eq(F_109(x), F_34(x)*F_80(x))<br />
  
    Eq(F_110(x), F_111(x) + F_119(x))<br />
  
    Eq(F_111(x), F_112(x) + F_115(x))<br />
  
    Eq(F_112(x), F_113(x))<br />
  
    Eq(F_113(x), F_114(x)*F_34(x))<br />
  
    Eq(F_114(x), F_1(x) + F_112(x))<br />
  
    Eq(F_115(x), F_116(x) + F_118(x) + F_98(x))<br />
  
    Eq(F_116(x), F_117(x)*F_34(x))<br />
  
    Eq(F_117(x), F_115(x) + F_34(x))<br />
  
    Eq(F_118(x), F_112(x)*F_34(x))<br />
  
    Eq(F_119(x), F_120(x) + F_137(x))<br />
  
    Eq(F_120(x), F_121(x) + F_123(x) + F_98(x))<br />
  
    Eq(F_121(x), F_122(x)*F_34(x))<br />
  
    Eq(F_122(x), F_120(x) + F_76(x))<br />
  
    Eq(F_123(x), F_124(x)*F_34(x))<br />
  
    Eq(F_124(x), F_125(x) + F_126(x))<br />
  
    Eq(F_125(x), F_112(x) + F_120(x))<br />
  
    Eq(F_126(x), F_127(x) + F_132(x))<br />
  
    Eq(F_127(x), F_128(x) + F_130(x) + F_98(x))<br />
  
    Eq(F_128(x), F_129(x)*F_34(x))<br />
  
    Eq(F_129(x), F_127(x) + F_80(x))<br />
  
    Eq(F_130(x), F_131(x)*F_34(x))<br />
  
    Eq(F_131(x), F_112(x) + F_127(x))<br />
  
    Eq(F_132(x), F_133(x) + F_135(x) + 2*F_98(x))<br />
  
    Eq(F_133(x), F_134(x)*F_34(x))<br />
  
    Eq(F_134(x), F_132(x) + F_83(x))<br />
  
    Eq(F_135(x), F_136(x)*F_34(x))<br />
  
    Eq(F_136(x), F_120(x) + F_132(x))<br />
  
    Eq(F_137(x), F_138(x) + F_140(x) + F_154(x) + F_98(x))<br />
  
    Eq(F_138(x), F_139(x)*F_34(x))<br />
  
    Eq(F_139(x), F_137(x) + F_97(x))<br />
  
    Eq(F_140(x), F_141(x)*F_34(x))<br />
  
    Eq(F_141(x), F_142(x) + F_143(x))<br />
  
    Eq(F_142(x), F_115(x) + F_137(x))<br />
  
    Eq(F_143(x), F_144(x) + F_149(x))<br />
  
    Eq(F_144(x), F_145(x) + F_147(x) + 2*F_98(x))<br />
  
    Eq(F_145(x), F_146(x)*F_34(x))<br />
  
    Eq(F_146(x), F_103(x) + F_144(x))<br />
  
    Eq(F_147(x), F_148(x)*F_34(x))<br />
  
    Eq(F_148(x), F_115(x) + F_144(x))<br />
  
    Eq(F_149(x), F_150(x) + F_152(x) + 3*F_98(x))<br />
  
    Eq(F_150(x), F_151(x)*F_34(x))<br />
  
    Eq(F_151(x), F_106(x) + F_149(x))<br />
  
    Eq(F_152(x), F_153(x)*F_34(x))<br />
  
    Eq(F_153(x), F_137(x) + F_149(x))<br />
  
    Eq(F_154(x), F_127(x)*F_34(x))<br />
  
    Eq(F_155(x), F_156(x))<br />
  
    Eq(F_156(x), F_157(x)*F_158(x)*F_34(x)*F_63(x)*F_75(x)*F_82(x))<br />
  
    Eq(F_157(x), F_125(x) + F_75(x))<br />
  
    Eq(F_158(x), F_131(x) + F_82(x))<br />
  
    Eq(F_159(x), F_160(x) + F_168(x))<br />
  
    Eq(F_160(x), F_161(x)*F_162(x))<br />
  
    Eq(F_161(x), x*(x - 2)*(F_161(x) + 1)**2 + (x + 1)*(F_161(x) + 1) + F_161(x) - 1)<br />
  
    Eq(F_162(x), F_163(x) + F_75(x))<br />
  
    Eq(F_163(x), F_164(x) + F_34(x))<br />
  
    Eq(F_164(x), F_165(x) + F_166(x) + F_98(x))<br />
  
    Eq(F_165(x), F_34(x)*F_76(x))<br />
  
    Eq(F_166(x), F_167(x)*F_34(x))<br />
  
    Eq(F_167(x), F_163(x))<br />
  
    Eq(F_168(x), F_169(x))<br />
  
    Eq(F_169(x), F_170(x)*F_186(x)*F_34(x))<br />
  
    Eq(F_170(x), F_161(x) + F_171(x))<br />
  
    Eq(F_171(x), F_172(x) - F_63(x))<br />
  
    Eq(F_172(x), F_173(x)/(F_175(x)*F_34(x)))<br />
  
    Eq(F_173(x), F_174(x))<br />
  
    Eq(F_174(x), F_175(x) - F_63(x))<br />
  
    Eq(F_175(x), F_176(x)/F_0(x))<br />
  
    Eq(F_176(x), F_177(x) - F_179(x))<br />
  
    Eq(F_177(x), F_178(x)/F_34(x))<br />
  
    Eq(F_178(x), F_51(x))<br />
  
    Eq(F_179(x), F_180(x) - F_185(x))<br />
  
    Eq(F_180(x), F_181(x)/F_34(x))<br />
  
    Eq(F_181(x), F_182(x))<br />
  
    Eq(F_182(x), F_183(x) - F_2(x))<br />
  
    Eq(F_183(x), F_184(x) - F_63(x))<br />
  
    Eq(F_184(x), F_0(x) + F_51(x))<br />
  
    Eq(F_185(x), F_175(x)*F_2(x))<br />
  
    Eq(F_186(x), F_187(x)/F_34(x))<br />
  
    Eq(F_187(x), F_188(x))<br />
  
    Eq(F_188(x), F_189(x) + F_190(x))<br />
  
    Eq(F_189(x), F_161(x)*F_75(x))<br />
  
    Eq(F_190(x), F_191(x))<br />
  
    Eq(F_191(x), F_192(x)*F_34(x)*F_75(x)*F_82(x))<br />
  
    Eq(F_192(x), F_161(x) + F_58(x))<br />
  
    Eq(F_193(x), F_175(x)*F_75(x))<br />
  
    Eq(F_194(x), F_195(x))<br />
  
    Eq(F_195(x), F_196(x)*F_34(x))<br />
  
    Eq(F_196(x), F_197(x) + F_90(x))<br />
  
    Eq(F_197(x), F_198(x))<br />
  
    Eq(F_198(x), F_157(x)*F_158(x)*F_34(x)*F_63(x))<br />
  
    Eq(F_199(x), F_200(x)/F_2(x))<br />
  
    Eq(F_200(x), F_201(x) - F_237(x))<br />
  
    Eq(F_201(x), F_202(x))<br />
  
    Eq(F_202(x), F_203(x)*F_34(x))<br />
  
    Eq(F_203(x), F_204(x)/F_34(x))<br />
  
    Eq(F_204(x), F_205(x))<br />
  
    Eq(F_205(x), F_206(x) - F_235(x))<br />
  
    Eq(F_206(x), F_207(x)/F_34(x))<br />
  
    Eq(F_207(x), F_208(x))<br />
  
    Eq(F_208(x), F_209(x) - F_234(x))<br />
  
    Eq(F_209(x), F_210(x))<br />
  
    Eq(F_210(x), F_211(x)*F_34(x))<br />
  
    Eq(F_211(x), F_212(x) + F_233(x))<br />
  
    Eq(F_212(x), F_213(x) + F_229(x))<br />
  
    Eq(F_213(x), F_184(x) + F_214(x))<br />
  
    Eq(F_214(x), F_215(x) + F_220(x))<br />
  
    Eq(F_215(x), F_216(x))<br />
  
    Eq(F_216(x), F_175(x)*F_217(x)*F_34(x))<br />
  
    Eq(F_217(x), F_114(x) + F_218(x))<br />
  
    Eq(F_218(x), F_219(x))<br />
  
    Eq(F_219(x), F_114(x)*F_20(x)*F_34(x))<br />
  
    Eq(F_220(x), F_221(x))<br />
  
    Eq(F_221(x), F_222(x)*F_34(x))<br />
  
    Eq(F_222(x), F_223(x) + F_228(x))<br />
  
    Eq(F_223(x), F_224(x))<br />
  
    Eq(F_224(x), F_175(x)*F_225(x)*F_34(x))<br />
  
    Eq(F_225(x), F_226(x)/(F_34(x)*F_63(x)))<br />
  
    Eq(F_226(x), F_227(x))<br />
  
    Eq(F_227(x), F_53(x) - F_8(x))<br />
  
    Eq(F_228(x), F_214(x))<br />
  
    Eq(F_229(x), F_2(x)*F_230(x))<br />
  
    Eq(F_230(x), F_231(x)/(F_20(x)*F_34(x)))<br />
  
    Eq(F_231(x), F_232(x))<br />
  
    Eq(F_232(x), F_177(x) - F_213(x))<br />
  
    Eq(F_233(x), F_175(x)*F_5(x))<br />
  
    Eq(F_234(x), F_2(x)*F_63(x))<br />
  
    Eq(F_235(x), F_236(x)*F_4(x))<br />
  
    Eq(F_236(x), F_175(x) - F_63(x))<br />
  
    Eq(F_237(x), F_238(x) - F_240(x))<br />
  
    Eq(F_238(x), F_239(x)/F_34(x))<br />
  
    Eq(F_239(x), F_182(x))<br />
  
    Eq(F_240(x), F_241(x))<br />
  
    Eq(F_241(x), F_242(x)*F_34(x))<br />
  
    Eq(F_242(x), F_243(x) + F_244(x))<br />
  
    Eq(F_243(x), F_217(x)*F_230(x))<br />
  
    Eq(F_244(x), F_245(x))<br />
  
    Eq(F_245(x), F_225(x)*F_230(x)*F_34(x))<br />
  
    Eq(F_246(x), F_247(x))<br />
  
    Eq(F_247(x), F_161(x)*F_248(x)*F_34(x))<br />
  
    Eq(F_248(x), F_249(x) + F_257(x))<br />
  
    Eq(F_249(x), F_114(x)*F_250(x))<br />
  
    Eq(F_250(x), F_251(x) + F_254(x))<br />
  
    Eq(F_251(x), F_217(x) + F_252(x))<br />
  
    Eq(F_252(x), F_253(x))<br />
  
    Eq(F_253(x), F_172(x)*F_20(x)*F_34(x))<br />
  
    Eq(F_254(x), F_255(x))<br />
  
    Eq(F_255(x), F_256(x))<br />
  
    Eq(F_256(x), F_248(x)*F_34(x))<br />
  
    Eq(F_257(x), F_258(x))<br />
  
    Eq(F_258(x), F_114(x)*F_259(x)*F_34(x))<br />
  
    Eq(F_259(x), F_260(x)/(F_34(x)*F_63(x)))<br />
  
    Eq(F_260(x), F_261(x))<br />
  
    Eq(F_261(x), F_262(x) + F_263(x))<br />
  
    Eq(F_262(x), F_45(x)*F_63(x))<br />
  
    Eq(F_263(x), F_264(x) - F_671(x))<br />
  
    Eq(F_264(x), F_265(x) - F_650(x))<br />
  
    Eq(F_265(x), F_266(x) - F_346(x))<br />
  
    Eq(F_266(x), F_267(x)/F_34(x))<br />
  
    Eq(F_267(x), F_268(x))<br />
  
    Eq(F_268(x), F_269(x) - F_338(x))<br />
  
    Eq(F_269(x), F_270(x))<br />
  
    Eq(F_270(x), F_271(x)*F_34(x))<br />
  
    Eq(F_271(x), F_272(x) + F_336(x))<br />
  
    Eq(F_272(x), F_273(x) + F_277(x))<br />
  
    Eq(F_273(x), F_274(x))<br />
  
    Eq(F_274(x), F_275(x)/F_34(x))<br />
  
    Eq(F_275(x), F_276(x))<br />
  
    Eq(F_276(x), F_35(x) - F_5(x))<br />
  
    Eq(F_277(x), -F_278(x) + F_40(x))<br />
  
    Eq(F_278(x), F_279(x) + F_281(x))<br />
  
    Eq(F_279(x), F_273(x) + F_280(x))<br />
  
    Eq(F_280(x), F_29(x) + F_36(x))<br />
  
    Eq(F_281(x), F_282(x)*F_34(x))<br />
  
    Eq(F_282(x), F_280(x) + F_283(x))<br />
  
    Eq(F_283(x), F_284(x))<br />
  
    Eq(F_284(x), F_285(x))<br />
  
    Eq(F_285(x), F_20(x)*F_286(x)*F_34(x))<br />
  
    Eq(F_286(x), F_287(x)/F_34(x))<br />
  
    Eq(F_287(x), F_288(x))<br />
  
    Eq(F_288(x), F_289(x) - F_299(x))<br />
  
    Eq(F_289(x), F_290(x) - F_292(x))<br />
  
    Eq(F_290(x), F_291(x)/F_34(x))<br />
  
    Eq(F_291(x), F_32(x))<br />
  
    Eq(F_292(x), F_293(x) + F_296(x))<br />
  
    Eq(F_293(x), F_183(x) + F_294(x))<br />
  
    Eq(F_294(x), F_295(x))<br />
  
    Eq(F_295(x), F_114(x)*F_194(x)*F_34(x))<br />
  
    Eq(F_296(x), F_297(x))<br />
  
    Eq(F_297(x), F_112(x)*F_158(x)*F_298(x)*F_34(x))<br />
  
    Eq(F_298(x), F_194(x) + F_63(x))<br />
  
    Eq(F_299(x), F_300(x) - F_335(x))<br />
  
    Eq(F_300(x), F_301(x) - F_331(x))<br />
  
    Eq(F_301(x), F_302(x)/F_34(x))<br />
  
    Eq(F_302(x), F_303(x))<br />
  
    Eq(F_303(x), -F_161(x) + F_304(x))<br />
  
    Eq(F_304(x), F_305(x) - F_307(x))<br />
  
    Eq(F_305(x), F_306(x)/F_34(x))<br />
  
    Eq(F_306(x), F_2(x))<br />
  
    Eq(F_307(x), F_1(x) + F_308(x))<br />
  
    Eq(F_308(x), F_309(x))<br />
  
    Eq(F_309(x), F_310(x)*F_34(x))<br />
  
    Eq(F_310(x), F_311(x) + F_75(x))<br />
  
    Eq(F_311(x), F_312(x) + F_319(x))<br />
  
    Eq(F_312(x), F_313(x))<br />
  
    Eq(F_313(x), F_314(x)*F_34(x))<br />
  
    Eq(F_314(x), F_315(x) + F_82(x))<br />
  
    Eq(F_315(x), F_316(x) + F_34(x))<br />
  
    Eq(F_316(x), F_317(x) + F_318(x) + F_98(x))<br />
  
    Eq(F_317(x), F_34(x)*F_80(x))<br />
  
    Eq(F_318(x), F_315(x)*F_34(x))<br />
  
    Eq(F_319(x), F_320(x) + F_324(x) + F_98(x))<br />
  
    Eq(F_320(x), F_321(x)*F_34(x))<br />
  
    Eq(F_321(x), F_322(x) + F_85(x))<br />
  
    Eq(F_322(x), F_323(x) + F_328(x))<br />
  
    Eq(F_323(x), F_165(x) + F_324(x) + F_98(x))<br />
  
    Eq(F_324(x), F_325(x)*F_34(x))<br />
  
    Eq(F_325(x), F_326(x) + F_327(x))<br />
  
    Eq(F_326(x), F_323(x) + F_34(x))<br />
  
    Eq(F_327(x), F_316(x) + F_328(x))<br />
  
    Eq(F_328(x), F_329(x) + F_330(x) + 2*F_98(x))<br />
  
    Eq(F_329(x), F_34(x)*F_83(x))<br />
  
    Eq(F_330(x), F_322(x)*F_34(x))<br />
  
    Eq(F_331(x), F_332(x) - F_334(x))<br />
  
    Eq(F_332(x), F_333(x)/F_34(x))<br />
  
    Eq(F_333(x), F_304(x))<br />
  
    Eq(F_334(x), F_289(x) + F_305(x))<br />
  
    Eq(F_335(x), F_303(x) + F_308(x))<br />
  
    Eq(F_336(x), F_337(x))<br />
  
    Eq(F_337(x), F_284(x)*F_34(x))<br />
  
    Eq(F_338(x), F_339(x))<br />
  
    Eq(F_339(x), F_34(x)*F_340(x))<br />
  
    Eq(F_340(x), F_341(x) + F_345(x))<br />
  
    Eq(F_341(x), F_342(x) + F_343(x))<br />
  
    Eq(F_342(x), F_161(x)*F_4(x))<br />
  
    Eq(F_343(x), F_183(x) + F_344(x))<br />
  
    Eq(F_344(x), F_2(x)*F_58(x))<br />
  
    Eq(F_345(x), F_161(x)*F_34(x)*F_4(x))<br />
  
    Eq(F_346(x), F_347(x) + F_351(x))<br />
  
    Eq(F_347(x), F_348(x))<br />
  
    Eq(F_348(x), F_161(x)*F_349(x))<br />
  
    Eq(F_349(x), F_350(x) + F_45(x))<br />
  
    Eq(F_350(x), F_14(x)*F_34(x))<br />
  
    Eq(F_351(x), F_352(x) - F_536(x))<br />
  
    Eq(F_352(x), F_353(x))<br />
  
    Eq(F_353(x), F_34(x)*F_354(x))<br />
  
    Eq(F_354(x), F_355(x) + F_368(x))<br />
  
    Eq(F_355(x), F_356(x)*F_360(x))<br />
  
    Eq(F_356(x), F_357(x)/F_34(x))<br />
  
    Eq(F_357(x), F_358(x))<br />
  
    Eq(F_358(x), F_33(x) + F_359(x))<br />
  
    Eq(F_359(x), F_10(x)*F_34(x))<br />
  
    Eq(F_360(x), F_361(x)/F_307(x))<br />
  
    Eq(F_361(x), F_362(x) - F_364(x))<br />
  
    Eq(F_362(x), F_363(x)/F_34(x))<br />
  
    Eq(F_363(x), F_304(x))<br />
  
    Eq(F_364(x), F_365(x) - F_367(x))<br />
  
    Eq(F_365(x), F_366(x)/F_34(x))<br />
  
    Eq(F_366(x), F_303(x))<br />
  
    Eq(F_367(x), F_308(x)*F_360(x))<br />
  
    Eq(F_368(x), F_369(x)*F_532(x))<br />
  
    Eq(F_369(x), F_370(x) + F_372(x))<br />
  
    Eq(F_370(x), F_371(x) + F_9(x))<br />
  
    Eq(F_371(x), F_16(x) + F_33(x))<br />
  
    Eq(F_372(x), F_373(x))<br />
  
    Eq(F_373(x), F_34(x)*F_374(x))<br />
  
    Eq(F_374(x), F_24(x) + F_375(x))<br />
  
    Eq(F_375(x), F_376(x))<br />
  
    Eq(F_376(x), F_34(x)*F_377(x))<br />
  
    Eq(F_377(x), F_378(x)/F_34(x))<br />
  
    Eq(F_378(x), F_379(x))<br />
  
    Eq(F_379(x), F_380(x) - F_525(x))<br />
  
    Eq(F_380(x), F_381(x)/F_34(x))<br />
  
    Eq(F_381(x), F_382(x))<br />
  
    Eq(F_382(x), F_383(x))<br />
  
    Eq(F_383(x), F_34(x)*F_384(x))<br />
  
    Eq(F_384(x), F_385(x)/F_34(x))<br />
  
    Eq(F_385(x), F_386(x))<br />
  
    Eq(F_386(x), F_387(x)/F_75(x))<br />
  
    Eq(F_387(x), F_388(x) - F_524(x))<br />
  
    Eq(F_388(x), F_389(x) - F_499(x))<br />
  
    Eq(F_389(x), F_390(x)/F_34(x))<br />
  
    Eq(F_390(x), F_391(x))<br />
  
    Eq(F_391(x), F_392(x) - F_498(x))<br />
  
    Eq(F_392(x), -F_310(x) + F_393(x))<br />
  
    Eq(F_393(x), F_394(x) + F_395(x))<br />
  
    Eq(F_394(x), F_0(x)*F_75(x))<br />
  
    Eq(F_395(x), F_396(x) + F_489(x))<br />
  
    Eq(F_396(x), F_397(x))<br />
  
    Eq(F_397(x), F_34(x)*F_398(x))<br />
  
    Eq(F_398(x), F_399(x) + F_405(x))<br />
  
    Eq(F_399(x), F_400(x) + F_9(x))<br />
  
    Eq(F_400(x), F_396(x) + F_401(x))<br />
  
    Eq(F_401(x), F_402(x))<br />
  
    Eq(F_402(x), F_20(x)*F_34(x)*F_403(x))<br />
  
    Eq(F_403(x), F_404(x))<br />
  
    Eq(F_404(x), F_286(x)*F_34(x))<br />
  
    Eq(F_405(x), F_406(x))<br />
  
    Eq(F_406(x), F_34(x)*F_407(x))<br />
  
    Eq(F_407(x), F_408(x)/(F_34(x)*F_75(x)))<br />
  
    Eq(F_408(x), F_409(x))<br />
  
    Eq(F_409(x), F_410(x) + F_411(x))<br />
  
    Eq(F_410(x), F_163(x)*F_217(x))<br />
  
    Eq(F_411(x), F_412(x))<br />
  
    Eq(F_412(x), F_172(x)*F_34(x)*F_413(x))<br />
  
    Eq(F_413(x), F_414(x))<br />
  
    Eq(F_414(x), F_34(x)*F_415(x)*F_75(x))<br />
  
    Eq(F_415(x), F_416(x) + F_485(x))<br />
  
    Eq(F_416(x), F_417(x) + F_483(x))<br />
  
    Eq(F_417(x), F_418(x) + F_470(x))<br />
  
    Eq(F_418(x), F_0(x) + F_419(x))<br />
  
    Eq(F_419(x), F_420(x) + F_80(x))<br />
  
    Eq(F_420(x), F_421(x))<br />
  
    Eq(F_421(x), F_34(x)*F_422(x))<br />
  
    Eq(F_422(x), F_423(x) + F_424(x))<br />
  
    Eq(F_423(x), F_2(x) + F_420(x))<br />
  
    Eq(F_424(x), F_425(x))<br />
  
    Eq(F_425(x), F_34(x)*F_426(x))<br />
  
    Eq(F_426(x), F_427(x) + F_432(x))<br />
  
    Eq(F_427(x), F_428(x) + F_429(x))<br />
  
    Eq(F_428(x), F_4(x)*F_82(x))<br />
  
    Eq(F_429(x), F_430(x))<br />
  
    Eq(F_430(x), F_34(x)*F_415(x)*F_431(x))<br />
  
    Eq(F_431(x), F_288(x) + F_63(x))<br />
  
    Eq(F_432(x), F_433(x) - F_467(x))<br />
  
    Eq(F_433(x), F_434(x)/F_34(x))<br />
  
    Eq(F_434(x), F_435(x))<br />
  
    Eq(F_435(x), F_436(x) - F_465(x))<br />
  
    Eq(F_436(x), F_10(x) + F_437(x))<br />
  
    Eq(F_437(x), F_438(x))<br />
  
    Eq(F_438(x), F_34(x)*F_439(x))<br />
  
    Eq(F_439(x), F_440(x) - F_463(x))<br />
  
    Eq(F_440(x), F_441(x)/F_34(x))<br />
  
    Eq(F_441(x), F_442(x))<br />
  
    Eq(F_442(x), F_443(x) - F_460(x))<br />
  
    Eq(F_443(x), F_444(x) - F_446(x))<br />
  
    Eq(F_444(x), F_445(x)/F_34(x))<br />
  
    Eq(F_445(x), F_395(x))<br />
  
    Eq(F_446(x), F_447(x) + F_448(x))<br />
  
    Eq(F_447(x), F_399(x)*F_75(x))<br />
  
    Eq(F_448(x), F_217(x)*F_449(x))<br />
  
    Eq(F_449(x), F_450(x) + F_76(x))<br />
  
    Eq(F_450(x), F_166(x) + F_451(x) + F_98(x))<br />
  
    Eq(F_451(x), F_34(x)*F_452(x))<br />
  
    Eq(F_452(x), F_453(x) + F_454(x))<br />
  
    Eq(F_453(x), F_450(x) + F_76(x))<br />
  
    Eq(F_454(x), F_164(x) + F_455(x))<br />
  
    Eq(F_455(x), F_456(x) + F_457(x) + F_459(x) + F_98(x))<br />
  
    Eq(F_456(x), F_34(x)*F_450(x))<br />
  
    Eq(F_457(x), F_34(x)*F_458(x))<br />
  
    Eq(F_458(x), F_454(x))<br />
  
    Eq(F_459(x), 0)<br />
  
    Eq(F_460(x), F_461(x))<br />
  
    Eq(F_461(x), F_34(x)*F_440(x)*F_462(x))<br />
  
    Eq(F_462(x), F_449(x) + F_76(x))<br />
  
    Eq(F_463(x), F_464(x)/F_34(x))<br />
  
    Eq(F_464(x), F_419(x))<br />
  
    Eq(F_465(x), F_2(x) + F_466(x))<br />
  
    Eq(F_466(x), F_112(x)*F_80(x))<br />
  
    Eq(F_467(x), F_14(x) + F_468(x))<br />
  
    Eq(F_468(x), F_420(x) + F_469(x))<br />
  
    Eq(F_469(x), -F_11(x) + F_435(x))<br />
  
    Eq(F_470(x), F_33(x) + F_471(x))<br />
  
    Eq(F_471(x), -F_396(x) + F_472(x))<br />
  
    Eq(F_472(x), F_473(x))<br />
  
    Eq(F_473(x), F_34(x)*F_474(x))<br />
  
    Eq(F_474(x), F_427(x) + F_475(x))<br />
  
    Eq(F_475(x), F_476(x) - F_481(x))<br />
  
    Eq(F_476(x), F_477(x)/F_34(x))<br />
  
    Eq(F_477(x), F_478(x))<br />
  
    Eq(F_478(x), F_396(x) + F_479(x))<br />
  
    Eq(F_479(x), F_480(x))<br />
  
    Eq(F_480(x), F_255(x)*F_34(x))<br />
  
    Eq(F_481(x), F_255(x) + F_482(x))<br />
  
    Eq(F_482(x), F_418(x) + F_424(x))<br />
  
    Eq(F_483(x), F_484(x))<br />
  
    Eq(F_484(x), F_34(x)*F_415(x))<br />
  
    Eq(F_485(x), F_486(x))<br />
  
    Eq(F_486(x), F_34(x)*F_487(x))<br />
  
    Eq(F_487(x), F_488(x)/F_34(x))<br />
  
    Eq(F_488(x), F_432(x))<br />
  
    Eq(F_489(x), F_490(x))<br />
  
    Eq(F_490(x), F_34(x)*F_491(x))<br />
  
    Eq(F_491(x), F_492(x) + F_493(x))<br />
  
    Eq(F_492(x), F_398(x)*F_76(x))<br />
  
    Eq(F_493(x), F_449(x)*F_494(x))<br />
  
    Eq(F_494(x), F_418(x) + F_495(x))<br />
  
    Eq(F_495(x), F_496(x))<br />
  
    Eq(F_496(x), F_34(x)*F_497(x))<br />
  
    Eq(F_497(x), F_432(x) + F_494(x))<br />
  
    Eq(F_498(x), F_2(x)*F_75(x))<br />
  
    Eq(F_499(x), F_500(x) + F_503(x))<br />
  
    Eq(F_500(x), F_501(x) + F_502(x))<br />
  
    Eq(F_501(x), F_423(x)*F_75(x))<br />
  
    Eq(F_502(x), F_2(x)*F_449(x))<br />
  
    Eq(F_503(x), F_504(x))<br />
  
    Eq(F_504(x), F_34(x)*F_505(x))<br />
  
    Eq(F_505(x), F_506(x) + F_514(x))<br />
  
    Eq(F_506(x), F_507(x))<br />
  
    Eq(F_507(x), F_2(x)*F_508(x)*F_82(x))<br />
  
    Eq(F_508(x), F_509(x)/(F_217(x)*F_34(x)*F_82(x)))<br />
  
    Eq(F_509(x), F_510(x))<br />
  
    Eq(F_510(x), F_325(x) + F_511(x))<br />
  
    Eq(F_511(x), F_512(x))<br />
  
    Eq(F_512(x), F_34(x)*F_508(x)*F_513(x)*F_82(x))<br />
  
    Eq(F_513(x), F_112(x) + F_218(x))<br />
  
    Eq(F_514(x), F_515(x))<br />
  
    Eq(F_515(x), F_34(x)*F_516(x)*F_63(x))<br />
  
    Eq(F_516(x), F_517(x)/F_34(x))<br />
  
    Eq(F_517(x), F_518(x))<br />
  
    Eq(F_518(x), F_519(x) - F_521(x))<br />
  
    Eq(F_519(x), F_520(x)/F_34(x))<br />
  
    Eq(F_520(x), F_391(x))<br />
  
    Eq(F_521(x), F_395(x) + F_522(x))<br />
  
    Eq(F_522(x), F_523(x))<br />
  
    Eq(F_523(x), F_471(x)*F_75(x))<br />
  
    Eq(F_524(x), F_449(x)*F_495(x))<br />
  
    Eq(F_525(x), F_526(x) + F_528(x))<br />
  
    Eq(F_526(x), F_527(x)/F_34(x))<br />
  
    Eq(F_527(x), F_10(x))<br />
  
    Eq(F_528(x), F_529(x))<br />
  
    Eq(F_529(x), F_34(x)*F_530(x))<br />
  
    Eq(F_530(x), F_531(x)/F_34(x))<br />
  
    Eq(F_531(x), F_277(x))<br />
  
    Eq(F_532(x), F_533(x))<br />
  
    Eq(F_533(x), F_34(x)*F_534(x))<br />
  
    Eq(F_534(x), F_535(x)/F_34(x))<br />
  
    Eq(F_535(x), F_58(x))<br />
  
    Eq(F_536(x), F_537(x))<br />
  
    Eq(F_537(x), F_161(x)*F_538(x))<br />
  
    Eq(F_538(x), F_539(x) - F_556(x))<br />
  
    Eq(F_539(x), F_540(x) + F_553(x))<br />
  
    Eq(F_540(x), F_541(x) + F_542(x))<br />
  
    Eq(F_541(x), F_4(x) + F_43(x))<br />
  
    Eq(F_542(x), F_543(x))<br />
  
    Eq(F_543(x), F_34(x)*F_544(x))<br />
  
    Eq(F_544(x), F_545(x) + F_551(x))<br />
  
    Eq(F_545(x), F_546(x) + F_550(x))<br />
  
    Eq(F_546(x), F_25(x) + F_547(x))<br />
  
    Eq(F_547(x), F_4(x) + F_548(x))<br />
  
    Eq(F_548(x), F_549(x))<br />
  
    Eq(F_549(x), F_34(x)*F_544(x))<br />
  
    Eq(F_550(x), F_371(x))<br />
  
    Eq(F_551(x), F_552(x))<br />
  
    Eq(F_552(x), F_34(x)*F_377(x))<br />
  
    Eq(F_553(x), F_554(x))<br />
  
    Eq(F_554(x), F_34(x)*F_555(x))<br />
  
    Eq(F_555(x), F_369(x) + F_375(x))<br />
  
    Eq(F_556(x), F_557(x) - F_608(x))<br />
  
    Eq(F_557(x), F_558(x) - F_563(x))<br />
  
    Eq(F_558(x), F_559(x) - F_561(x))<br />
  
    Eq(F_559(x), F_560(x)/F_34(x))<br />
  
    Eq(F_560(x), F_42(x))<br />
  
    Eq(F_561(x), F_34(x)*F_562(x))<br />
  
    Eq(F_562(x), F_18(x) + F_540(x))<br />
  
    Eq(F_563(x), F_564(x) + F_573(x))<br />
  
    Eq(F_564(x), F_565(x) - F_569(x))<br />
  
    Eq(F_565(x), F_566(x)/F_34(x))<br />
  
    Eq(F_566(x), F_567(x))<br />
  
    Eq(F_567(x), F_338(x) + F_568(x))<br />
  
    Eq(F_568(x), F_2(x)*F_95(x))<br />
  
    Eq(F_569(x), F_570(x))<br />
  
    Eq(F_570(x), F_34(x)*F_571(x))<br />
  
    Eq(F_571(x), F_4(x) + F_572(x))<br />
  
    Eq(F_572(x), F_2(x)*F_431(x))<br />
  
    Eq(F_573(x), F_349(x) + F_574(x))<br />
  
    Eq(F_574(x), -F_350(x) + F_575(x))<br />
  
    Eq(F_575(x), F_576(x) - F_581(x))<br />
  
    Eq(F_576(x), F_577(x)/F_34(x))<br />
  
    Eq(F_577(x), F_578(x))<br />
  
    Eq(F_578(x), F_44(x) - F_579(x))<br />
  
    Eq(F_579(x), F_580(x))<br />
  
    Eq(F_580(x), F_34(x)*F_341(x))<br />
  
    Eq(F_581(x), F_582(x) + F_605(x))<br />
  
    Eq(F_582(x), F_583(x))<br />
  
    Eq(F_583(x), F_274(x) - F_584(x))<br />
  
    Eq(F_584(x), F_585(x) - F_587(x))<br />
  
    Eq(F_585(x), F_586(x)/F_34(x))<br />
  
    Eq(F_586(x), F_276(x))<br />
  
    Eq(F_587(x), F_588(x))<br />
  
    Eq(F_588(x), F_589(x) - F_604(x))<br />
  
    Eq(F_589(x), F_590(x)/F_34(x))<br />
  
    Eq(F_590(x), F_591(x))<br />
  
    Eq(F_591(x), F_592(x) - F_603(x))<br />
  
    Eq(F_592(x), F_593(x) - F_597(x))<br />
  
    Eq(F_593(x), F_36(x) + F_594(x))<br />
  
    Eq(F_594(x), F_595(x))<br />
  
    Eq(F_595(x), F_34(x)*F_596(x))<br />
  
    Eq(F_596(x), F_26(x) + F_379(x))<br />
  
    Eq(F_597(x), F_598(x) + F_599(x))<br />
  
    Eq(F_598(x), F_0(x) + F_396(x))<br />
  
    Eq(F_599(x), F_600(x) + F_602(x))<br />
  
    Eq(F_600(x), F_601(x))<br />
  
    Eq(F_601(x), F_280(x)*F_34(x))<br />
  
    Eq(F_602(x), F_382(x) - F_396(x))<br />
  
    Eq(F_603(x), F_479(x) + F_5(x))<br />
  
    Eq(F_604(x), F_585(x))<br />
  
    Eq(F_605(x), F_606(x))<br />
  
    Eq(F_606(x), F_551(x) - F_607(x))<br />
  
    Eq(F_607(x), F_251(x)*F_34(x))<br />
  
    Eq(F_608(x), F_609(x))<br />
  
    Eq(F_609(x), F_610(x) - F_613(x))<br />
  
    Eq(F_610(x), F_611(x) + F_612(x))<br />
  
    Eq(F_611(x), F_583(x))<br />
  
    Eq(F_612(x), F_605(x))<br />
  
    Eq(F_613(x), F_614(x) - F_617(x))<br />
  
    Eq(F_614(x), F_615(x))<br />
  
    Eq(F_615(x), F_34(x)*F_616(x))<br />
  
    Eq(F_616(x), F_375(x) + F_525(x))<br />
  
    Eq(F_617(x), F_618(x) - F_633(x))<br />
  
    Eq(F_618(x), F_619(x) - F_623(x))<br />
  
    Eq(F_619(x), F_620(x)/F_34(x))<br />
  
    Eq(F_620(x), F_621(x))<br />
  
    Eq(F_621(x), F_34(x)*F_622(x))<br />
  
    Eq(F_622(x), F_396(x) + F_599(x))<br />
  
    Eq(F_623(x), F_624(x))<br />
  
    Eq(F_624(x), F_34(x)*F_625(x))<br />
  
    Eq(F_625(x), F_626(x) - F_628(x))<br />
  
    Eq(F_626(x), F_627(x)/F_34(x))<br />
  
    Eq(F_627(x), F_599(x))<br />
  
    Eq(F_628(x), F_629(x) - F_631(x))<br />
  
    Eq(F_629(x), F_630(x)/F_34(x))<br />
  
    Eq(F_630(x), F_602(x))<br />
  
    Eq(F_631(x), F_632(x))<br />
  
    Eq(F_632(x), F_34(x)*F_374(x))<br />
  
    Eq(F_633(x), F_634(x) - F_646(x))<br />
  
    Eq(F_634(x), F_635(x))<br />
  
    Eq(F_635(x), F_636(x) - F_645(x))<br />
  
    Eq(F_636(x), F_637(x)/F_34(x))<br />
  
    Eq(F_637(x), F_638(x))<br />
  
    Eq(F_638(x), F_639(x) - F_644(x))<br />
  
    Eq(F_639(x), F_640(x) - F_641(x))<br />
  
    Eq(F_640(x), F_4(x) + F_478(x))<br />
  
    Eq(F_641(x), F_642(x) + F_643(x))<br />
  
    Eq(F_642(x), F_1(x) + F_312(x))<br />
  
    Eq(F_643(x), F_2(x)*F_95(x))<br />
  
    Eq(F_644(x), F_598(x) - F_642(x))<br />
  
    Eq(F_645(x), F_30(x)*F_95(x))<br />
  
    Eq(F_646(x), F_479(x) + F_647(x))<br />
  
    Eq(F_647(x), F_648(x))<br />
  
    Eq(F_648(x), F_34(x)*F_649(x))<br />
  
    Eq(F_649(x), F_587(x))<br />
  
    Eq(F_650(x), F_651(x))<br />
  
    Eq(F_651(x), F_652(x) - F_668(x))<br />
  
    Eq(F_652(x), F_653(x))<br />
  
    Eq(F_653(x), F_34(x)**2*F_654(x))<br />
  
    Eq(F_654(x), F_655(x)/F_34(x))<br />
  
    Eq(F_655(x), F_656(x))<br />
  
    Eq(F_656(x), F_657(x) - F_664(x))<br />
  
    Eq(F_657(x), F_658(x) + F_660(x))<br />
  
    Eq(F_658(x), F_659(x)/F_34(x))<br />
  
    Eq(F_659(x), F_33(x))<br />
  
    Eq(F_660(x), F_661(x))<br />
  
    Eq(F_661(x), F_20(x)*F_34(x)*F_662(x))<br />
  
    Eq(F_662(x), F_663(x)/F_34(x))<br />
  
    Eq(F_663(x), F_288(x))<br />
  
    Eq(F_664(x), F_665(x) + F_667(x))<br />
  
    Eq(F_665(x), F_305(x) + F_666(x))<br />
  
    Eq(F_666(x), F_2(x)*F_360(x))<br />
  
    Eq(F_667(x), F_10(x)*F_360(x))<br />
  
    Eq(F_668(x), F_34(x)*F_669(x))<br />
  
    Eq(F_669(x), -F_342(x) + F_670(x))<br />
  
    Eq(F_670(x), F_49(x) + F_548(x))<br />
  
    Eq(F_671(x), F_672(x))<br />
  
    Eq(F_672(x), F_34(x)*F_673(x)*F_704(x))<br />
  
    Eq(F_673(x), F_674(x)/F_34(x))<br />
  
    Eq(F_674(x), F_675(x) - F_677(x))<br />
  
    Eq(F_675(x), F_676(x)/F_34(x))<br />
  
    Eq(F_676(x), F_606(x))<br />
  
    Eq(F_677(x), F_678(x))<br />
  
    Eq(F_678(x), F_679(x)/F_34(x))<br />
  
    Eq(F_679(x), F_680(x))<br />
  
    Eq(F_680(x), F_34(x)*F_681(x))<br />
  
    Eq(F_681(x), F_682(x) - F_684(x))<br />
  
    Eq(F_682(x), F_683(x)/F_34(x))<br />
  
    Eq(F_683(x), F_528(x))<br />
  
    Eq(F_684(x), F_530(x) - F_685(x))<br />
  
    Eq(F_685(x), F_377(x) - F_686(x))<br />
  
    Eq(F_686(x), F_687(x)/(F_175(x)*F_34(x)))<br />
  
    Eq(F_687(x), F_688(x))<br />
  
    Eq(F_688(x), F_689(x) - F_703(x))<br />
  
    Eq(F_689(x), F_690(x)/F_34(x))<br />
  
    Eq(F_690(x), F_691(x))<br />
  
    Eq(F_691(x), F_692(x) + F_699(x))<br />
  
    Eq(F_692(x), F_693(x))<br />
  
    Eq(F_693(x), F_34(x)*F_694(x))<br />
  
    Eq(F_694(x), F_695(x) + F_698(x))<br />
  
    Eq(F_695(x), F_4(x) + F_696(x))<br />
  
    Eq(F_696(x), F_697(x))<br />
  
    Eq(F_697(x), F_175(x)*F_20(x)*F_34(x))<br />
  
    Eq(F_698(x), F_216(x))<br />
  
    Eq(F_699(x), F_700(x))<br />
  
    Eq(F_700(x), F_34(x)*F_701(x))<br />
  
    Eq(F_701(x), F_235(x) + F_702(x))<br />
  
    Eq(F_702(x), F_175(x)*F_21(x))<br />
  
    Eq(F_703(x), F_526(x)*F_63(x))<br />
  
    Eq(F_704(x), F_705(x))<br />
  
    Eq(F_705(x), F_34(x)*F_62(x))<br />
  
    Eq(F_706(x), F_707(x))<br />
  
    Eq(F_707(x), F_34(x)**2*F_562(x))<br />
  
    Eq(F_708(x), F_709(x))<br />
  
    Eq(F_709(x), F_34(x)*F_710(x))<br />
  
    Eq(F_710(x), F_400(x) + F_711(x))<br />
  
    Eq(F_711(x), -F_432(x) + F_712(x))<br />
  
    Eq(F_712(x), F_713(x)/F_34(x))<br />
  
    Eq(F_713(x), F_602(x))<br />
  
    Eq(F_714(x), F_0(x) + F_600(x))<br />
  
    Eq(F_715(x), F_711(x) + F_716(x))<br />
  
    Eq(F_716(x), F_255(x) + F_399(x))<br />
  
    Eq(F_717(x), F_718(x)/F_34(x))<br />
  
    Eq(F_718(x), F_288(x))<br />
  
    Eq(F_719(x), F_246(x) + F_255(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [4, 0, 1, 3, 2], [4, 0, 3, 1, 2], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [4, 0, 1, 3, 2], [4, 0, 3, 1, 2], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 1]]}, 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2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [2, 1], [2, 2]], [[1, 0]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 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], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 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&#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 3], [2, 3]]}, {&#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;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#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, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1]]}, {&#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], [1, 0], [1, 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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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 2], [1, 2]]}, {&#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], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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&#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, &#34;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, 2]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 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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], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 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;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#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], [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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 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], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [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, 0], [1, 0], [1, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 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;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [5, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[5, 0], [5, 0]]}, {&#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, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 0], [2, 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;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 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, 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, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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], [0, 5], [1, 1], [1, 3], [1, 5]], [[2, 4]], [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], 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[[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, 2], [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, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 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;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 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[[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: 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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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 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], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;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;: 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0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 3], [3, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[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, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 4, 1, 3, 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;: [[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;: [[0, 1], [0, 1], [0, 1], [2, 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;: [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;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 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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;: [[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;: [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, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 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1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [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;: [[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, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 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, 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;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [[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;: [[0, 1], [0, 1], [0, 1], [2, 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;: [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;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [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], [0, 2]]}, {&#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, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, 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[]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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;, 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[2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [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, 3], [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, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#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], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 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;: [[1, 2], [1, 1], [1, 2]]}, {&#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], [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, 3], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 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], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 2], [1, 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], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [2, 0], [4, 0], [4, 3]], [[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;: 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[[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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#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], [0, 1], [1, 1], [2, 1]], [[3, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 3]]}, {&#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], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [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], [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [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, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#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], [1, 1], [3, 0], [3, 2]], [[2, 4]], [[4, 3]], [[5, 5]]]}}, &#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, 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;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 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3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 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, 1], [2, 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;: [[1, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 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], [2, 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, 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[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 2, 0, 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[[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, 2], [0, 3], [2, 2], [2, 3], [3, 2], [4, 0]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 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&#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 5], [1, 1], [1, 4], [1, 7], [3, 6]], [[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;: 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 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, 4]]}, {&#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;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [3, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [0, 4], [2, 3], [2, 5]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#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;: 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2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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], [1, 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, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#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, 0], [1, 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, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [2, 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[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 3], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [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], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 1, 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[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 7], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 4], [0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 7], [0, 7], [0, 7], [0, 7], [0, 7]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#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], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#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], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 3]]}, {&#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], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3]]}, 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{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 4], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 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, 4], [0, 5], [0, 4], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [0, 6], [1, 0], [1, 1], [1, 2], [1, 5], [3, 0], [3, 1]], [[2, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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[[0, 0], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 2], [0, 0], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 0], [0, 0], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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[[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], 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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], [0, 2], [0, 4], [2, 0], [2, 1]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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;: 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1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 2]]}, {&#34;patt&#34;: [0, 1], &#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;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 1], [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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#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;: [[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, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 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;, 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&#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#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], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#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], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [1, 3], [2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 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{&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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&#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, 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, 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, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#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, 2], [0, 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;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 1], [0, 1], [0, 1]]}, {&#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, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 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, 0], [1, 1], [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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 2], [0, 2], [0, 2], [0, 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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [2, 1], [2, 2], [2, 5], [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], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 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, 3]]}, 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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, 1, 2], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 2], [1, 1], [1, 2]]}, {&#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], [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;: [[1, 2], [1, 1], [1, 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], [1, 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], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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{&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 2], [1, 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], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2], [1, 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;: [[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], [1, 1], [1, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [[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;: [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;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 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, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;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]]}, 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0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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], [0, 2]], [[1, 0], [2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 2], [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;: [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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 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3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [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], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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2], [4, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, 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[[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, 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{&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], 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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, 0], [0, 1], [1, 0]], [[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, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 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, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: 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2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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{&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [4, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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, 4], [1, 0], [2, 0], [3, 0], [3, 2], [5, 0], [5, 1]], [[4, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: 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[[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;, 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[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [0, 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[[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;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], 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[0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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]]}, 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[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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [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], [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [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, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 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&#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, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3]], [[2, 5], [4, 4], [5, 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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 2]]}, {&#34;patt&#34;: [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, 1], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#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, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0]], [[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, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3], [1, 0], [3, 0], [4, 4]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 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;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 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0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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;: 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&#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2], [0, 4], [2, 0], [3, 0]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;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, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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[{&#34;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;: [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, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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{&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 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&#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#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], [0, 1], [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, 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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 2], [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, 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;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [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], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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], [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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 6]], [[1, 5]], [[2, 2], [3, 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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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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, 0], [0, 1], [1, 0], [2, 0], [4, 0]], [[3, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;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, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[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, 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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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, 2], [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, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [[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;: [[1, 0], [1, 1], [1, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#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, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 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1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 2], [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]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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], [0, 5], [3, 5], [4, 3], [4, 5]], [[1, 4]], [[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;: [[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;: 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0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], 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&#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;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], [0, 3], [1, 0], [3, 0]], [[2, 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1], [2, 1]]}], &#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, 0], [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;: 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#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, 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;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [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], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 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;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], 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[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [0, 3], [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, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [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, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 2], [0, 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[0, 2], [0, 2], [0, 2]]}], &#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, 0], [0, 1], [0, 2], [1, 0], [3, 0], [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;: 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [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], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 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, 2], [0, 3], [0, 5], [1, 1], [1, 3], [1, 5]], [[2, 4]], [[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;: 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2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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&#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3], [0, 4], [0, 5], [1, 5], [3, 0], [3, 2], [3, 7], [4, 6]], [[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, 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], 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0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, 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&#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5]]}, {&#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, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 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;: [[1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 0], [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;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 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0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [2, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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], [0, 6], [2, 0], [2, 2], [2, 3], [2, 5], [3, 0], [3, 2]], [[1, 1]], [[4, 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;: [[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;: [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, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 1], [0, 1], [0, 1]]}, {&#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, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [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, 1], [1, 1], [1, 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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 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, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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, 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;: [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, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 1], [0, 1], [0, 1]]}, {&#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, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [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, 1], [1, 1], [1, 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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 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, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 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;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [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], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#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;: 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;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], [0, 0]]}, {&#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, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [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, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 0], [0, 0], [0, 0], [0, 0], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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;: [[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;: [[1, 0]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [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;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 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, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], 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[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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 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, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [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, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 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], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#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, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 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;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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.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]]}]}}, 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0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 2], [3, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 5], [0, 3], [0, 3]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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], [0, 5]], [[1, 4]], [[2, 0], [2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#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, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 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[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [1, 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, 1], [0, 2], [1, 1], [1, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1], [1, 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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [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, 0], [0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 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, 1], [0, 1], [0, 1]]}, {&#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, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 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, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#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;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, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;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, 1], [0, 2], [0, 4]], [[1, 3]], [[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;: 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: 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0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [4, 2], [5, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: 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[[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 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;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 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[[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 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], [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_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, 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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;: [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, 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&#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;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;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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]]}, 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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;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}], &#34;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;: [[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], 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[[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}], &#34;requirements&#34;: 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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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}], &#34;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;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;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;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}], &#34;requirements&#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;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;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;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}], &#34;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;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}], &#34;requirements&#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;assumptions&#34;: []}, &#34;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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 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[[0, 1], [2, 1], [2, 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;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;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;: [[0, 1], [1, 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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[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;: [[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], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 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;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}], &#34;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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;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]], [[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], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;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;: 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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;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, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}], &#34;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: 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&#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;: [[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, 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;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}], &#34;requirements&#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;assumptions&#34;: []}, &#34;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;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}], 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [3, 1], [3, 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;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[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;: [[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, 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;: [[1, 0], [1, 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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], 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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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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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{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}, &#34;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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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, 3, 2], &#34;pos&#34;: [[0, 0], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [4, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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;: [[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, 1], [1, 0], [1, 1]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [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], [1, 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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], 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5], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [1, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;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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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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&#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 1], [2, 2], [2, 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;: [[2, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[2, 2], [2, 1], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 1], [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, 3], [2, 1], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2], [3, 3]]}, {&#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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 3], [2, 2]]}, {&#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, 1], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 3], [2, 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], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 2], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 3], [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, 1], [2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 1], [2, 2], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 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{&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [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;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [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, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 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;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 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], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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;: [[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;: [0, 1], &#34;pos&#34;: [[2, 1], [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, 1]]}, {&#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, 1], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#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], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}], &#34;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, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 0]]}, {&#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, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#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, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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2], [0, 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;: [[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;: [[1, 0], [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, 0]]}, {&#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, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#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, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], 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[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 3]]}, {&#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;: [[3, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: 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2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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]]}, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 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;: [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;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 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;: [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;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, 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0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;, 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, 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1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;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, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 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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, 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, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 3], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[3, 3], [3, 0], [3, 0], [3, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[3, 3], [3, 0], [3, 3], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 5], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[3, 0], [3, 0], [3, 5], [3, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 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2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 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, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 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, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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;: [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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 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, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 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, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [0, 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], [0, 2], [1, 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, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 0], [0, 0], [0, 0], [0, 0], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 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;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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;: [[3, 3], [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, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [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;: [[3, 3], [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, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [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, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 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3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;: 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[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 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, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}]], 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [5, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[4, 2], 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[[2, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [5, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [5, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [5, 0], [5, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [5, 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;: [[3, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [5, 1], [5, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 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;: [[3, 1], [3, 1], [3, 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;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 1], [5, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[5, 0], [5, 1], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 1], [3, 1], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[5, 0], [5, 1], [5, 0], [5, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [2, 0], [5, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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;: [[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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [5, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[[2, 2], [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, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [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, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;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;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;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, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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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[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], 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[{&#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, 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;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, 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4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;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, 1], 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 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;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;: 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[1, 0], &#34;pos&#34;: [[1, 4], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], 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0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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;: [[3, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[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, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [4, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 5], [5, 5], [5, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;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;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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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[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 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], [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, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [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, 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;: 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[[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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&#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: 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[0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 4], [4, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 4], [4, 4], [4, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[5, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 5], [4, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[5, 7], [5, 7], [5, 7]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#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, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#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, 0], [0, 2], [0, 2]]}, 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&#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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1]]}, {&#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, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 3], [4, 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], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 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, 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, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 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;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 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;: [[1, 2], [1, 2]]}, {&#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;: [[3, 3], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 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;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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, 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;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 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3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 1], [3, 1], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 4], [0, 4], [0, 6], [0, 6]]}, 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5], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, &#34;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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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 3], [0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6], [0, 6], [0, 6]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 7]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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, 5]]}, {&#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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], 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[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: 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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 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1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], 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3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, 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2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#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], [0, 1]]}, {&#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, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [1, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 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, 1], [1, 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, 1], [0, 2], [1, 1], [1, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 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;: [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, 1], [0, 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], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [1, 1], [1, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}]}, {&#34;class_module&#34;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 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[4, 0]]}, {&#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], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 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;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[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, 1]]}, {&#34;patt&#34;: [0], 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4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 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;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], 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{&#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, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, 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[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5], [0, 5]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 1], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 5]]}, 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4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}], [{&#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], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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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;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], 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&#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [2, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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;: 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;: 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2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [3, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;patt&#34;: [0, 3, 1, 4, 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, 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, 4], [0, 2], [0, 2]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 2], [0, 2], [0, 2], [0, 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{&#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, 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;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [4, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[4, 2], [4, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, 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[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;: [[2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#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;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#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, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 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;: [[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;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#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;: [[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;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#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, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 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;: [[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], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: 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[1, 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, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#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;: [[1, 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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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;: [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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [4, 0, 1, 3, 2], [4, 0, 3, 1, 2], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [4, 0, 1, 3, 2], [4, 0, 3, 1, 2], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;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;: [[0, 1], [0, 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], [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;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 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;: [1, 0], &#34;pos&#34;: [[3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[4, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [4, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[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;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 2<br />
  Strategy pack name: point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries<br />
  Tree: http://permpal.com/tree/24914/<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[4,x]*F[5,x]<br />
  
    F[4,x] = x<br />
  
    F[5,x] = F[1,x]+F[110,x]+F[6,x]<br />
  
    F[6,x] = F[4,x]*F[7,x]<br />
  
    F[7,x] = F[8,x,1]<br />
  
    F[8,x,k[0]] = F[5,x]+F[9,x,k[0]]<br />
  
    F[9,x,k[0]] = F[10,x]+F[11,x,k[0]]+F[13,x,k[0]]+F[55,x,k[0]]<br />
  
    F[10,x] = 0<br />
  
    F[11,x,k[0]] = F[12,x,k[0]]*F[4,x]<br />
  
    F[12,x,k[0]] = -k[0]*(F[9,x,1]-F[9,x,k[0]])/(-1+k[0])<br />
  
    F[13,x,k[0]] = F[14,x,k[0]]*F[15,x,k[0]]<br />
  
    F[14,x,k[0]] = k[0]*x<br />
  
    F[15,x,k[0]] = F[16,x,k[0]]+F[53,x,k[0]]<br />
  
    F[16,x,k[0]] = F[17,x,k[0]]+F[49,x,k[0]]<br />
  
    F[17,x,k[0]] = F[18,x]+F[29,x,k[0]]<br />
  
    F[18,x] = F[1,x]+F[19,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[21,x]*F[4,x]<br />
  
    F[21,x] = F[18,x]+F[22,x]<br />
  
    F[22,x] = F[23,x]+F[26,x]<br />
  
    F[23,x] = F[24,x]<br />
  
    F[24,x] = F[25,x]*F[4,x]<br />
  
    F[25,x] = F[1,x]+F[23,x]<br />
  
    F[26,x] = F[27,x]<br />
  
    F[27,x] = F[28,x]*F[4,x]<br />
  
    F[28,x] = F[19,x]+F[26,x]<br />
  
    F[29,x,k[0]] = F[30,x,k[0]]+F[33,x,k[0]]<br />
  
    F[30,x,k[0]] = F[31,x,k[0]]<br />
  
    F[31,x,k[0]] = F[14,x,k[0]]*F[32,x,k[0]]<br />
  
    F[32,x,k[0]] = F[1,x]+F[30,x,k[0]]<br />
  
    F[33,x,k[0]] = F[10,x]+F[34,x,k[0]]+F[36,x,k[0]]<br />
  
    F[34,x,k[0]] = F[14,x,k[0]]*F[35,x,k[0]]<br />
  
    F[35,x,k[0]] = F[19,x]+F[33,x,k[0]]<br />
  
    F[36,x,k[0]] = F[37,x,k[0]]*F[4,x]<br />
  
    F[37,x,k[0]] = F[38,x,k[0]]+F[42,x,k[0]]<br />
  
    F[38,x,k[0]] = F[30,x,k[0]]+F[39,x,k[0]]<br />
  
    F[39,x,k[0]] = F[40,x,k[0]]<br />
  
    F[40,x,k[0]] = F[14,x,k[0]]*F[41,x,k[0]]<br />
  
    F[41,x,k[0]] = F[19,x]+F[39,x,k[0]]<br />
  
    F[42,x,k[0]] = F[43,x,k[0]]+F[46,x,k[0]]<br />
  
    F[43,x,k[0]] = F[44,x,k[0]]<br />
  
    F[44,x,k[0]] = F[14,x,k[0]]*F[45,x,k[0]]<br />
  
    F[45,x,k[0]] = F[23,x]+F[43,x,k[0]]<br />
  
    F[46,x,k[0]] = F[47,x,k[0]]<br />
  
    F[47,x,k[0]] = F[14,x,k[0]]*F[48,x,k[0]]<br />
  
    F[48,x,k[0]] = F[26,x]+F[46,x,k[0]]<br />
  
    F[49,x,k[0]] = F[50,x,k[0]]<br />
  
    F[50,x,k[0]] = F[4,x]*F[51,x,k[0]]<br />
  
    F[52,x,k[0]] = F[14,x,k[0]]*F[51,x,k[0]]<br />
  
    F[52,x,k[0]] = F[9,x,k[0]]<br />
  
    F[53,x,k[0]] = k[0]*F[54,x,k[0]]<br />
  
    F[54,x,k[0]] = F[50,x,k[0]]<br />
  
    F[55,x,k[0]] = F[4,x]*F[56,x,k[0]]<br />
  
    F[56,x,k[0]] = F[57,x,k[0]]<br />
  
    F[57,x,k[0]] = F[14,x,k[0]]*F[58,x,k[0]]<br />
  
    F[58,x,k[0]] = F[147,x,k[0]]+F[59,x,k[0]]<br />
  
    F[59,x,k[0]] = F[173,x,k[0]]+F[60,x,k[0]]<br />
  
    F[60,x,k[0]] = F[125,x,k[0]]+F[161,x,k[0]]+F[166,x]+F[61,x]<br />
  
    F[61,x] = F[114,x]+F[62,x]<br />
  
    F[62,x] = F[18,x]+F[63,x]<br />
  
    F[63,x] = F[64,x]<br />
  
    F[64,x] = F[4,x]*F[65,x]<br />
  
    F[65,x] = F[100,x]+F[62,x]+F[66,x]<br />
  
    F[66,x] = -F[5,x]-F[95,x]+F[67,x]<br />
  
    F[67,x] = 1/F[4,x]*F[68,x]<br />
  
    F[68,x] = F[69,x]<br />
  
    F[69,x] = -F[70,x]+F[5,x]<br />
  
    F[70,x] = F[1,x]+F[71,x]<br />
  
    F[71,x] = F[72,x]<br />
  
    F[72,x] = F[4,x]*F[73,x]<br />
  
    F[73,x] = F[18,x]+F[74,x]<br />
  
    F[74,x] = F[75,x]+F[82,x]<br />
  
    F[75,x] = F[76,x]<br />
  
    F[76,x] = F[4,x]*F[77,x]<br />
  
    F[77,x] = F[25,x]+F[78,x]<br />
  
    F[78,x] = F[4,x]+F[79,x]<br />
  
    F[79,x] = F[10,x]+F[80,x]+F[81,x]<br />
  
    F[80,x] = F[23,x]*F[4,x]<br />
  
    F[81,x] = F[4,x]*F[78,x]<br />
  
    F[82,x] = F[10,x]+F[83,x]+F[88,x]<br />
  
    F[83,x] = F[4,x]*F[84,x]<br />
  
    F[84,x] = F[28,x]+F[85,x]<br />
  
    F[85,x] = F[86,x]+F[92,x]<br />
  
    F[86,x] = F[10,x]+F[87,x]+F[88,x]<br />
  
    F[87,x] = F[19,x]*F[4,x]<br />
  
    F[88,x] = F[4,x]*F[89,x]<br />
  
    F[89,x] = F[90,x]+F[91,x]<br />
  
    F[90,x] = F[4,x]+F[86,x]<br />
  
    F[91,x] = F[79,x]+F[92,x]<br />
  
    F[92,x] = 2*F[10,x]+F[93,x]+F[94,x]<br />
  
    F[93,x] = F[26,x]*F[4,x]<br />
  
    F[94,x] = F[4,x]*F[85,x]<br />
  
    F[95,x] = F[4,x]*F[96,x]<br />
  
    F[96,x] = 1/F[4,x]*F[97,x]<br />
  
    F[97,x] = F[98,x]<br />
  
    F[98,x] = 1/F[4,x]*F[99,x]<br />
  
    F[99,x] = -F[10,x]-F[6,x]+F[69,x]<br />
  
    F[100,x] = -F[105,x]-F[62,x]+F[101,x]<br />
  
    F[101,x] = 1/F[4,x]*F[102,x]<br />
  
    F[102,x] = F[103,x]<br />
  
    F[103,x] = -F[104,x]+F[5,x]<br />
  
    F[104,x] = -1+(x^2-2*x)*F[104,x]^2+(2+x)*F[104,x]<br />
  
    F[105,x] = F[106,x]*F[4,x]<br />
  
    F[106,x] = 1/F[4,x]*F[107,x]<br />
  
    F[107,x] = F[108,x]<br />
  
    F[108,x] = 1/F[4,x]*F[109,x]<br />
  
    F[109,x] = -F[10,x]-F[110,x]+F[103,x]<br />
  
    F[110,x] = F[111,x]*F[4,x]<br />
  
    F[111,x] = F[112,x]+F[62,x]<br />
  
    F[112,x] = F[113,x]<br />
  
    F[113,x] = -F[21,x]+F[61,x]<br />
  
    F[114,x] = F[115,x]<br />
  
    F[115,x] = F[116,x]*F[4,x]<br />
  
    F[116,x] = F[117,x]+F[61,x]<br />
  
    F[117,x] = F[118,x]<br />
  
    F[118,x] = F[119,x]*F[4,x]<br />
  
    F[119,x] = F[120,x,1]<br />
  
    F[120,x,k[0]] = F[121,x,k[0]]+F[148,x,k[0]]<br />
  
    F[121,x,k[0]] = F[122,x,k[0]]+F[125,x,k[0]]+F[61,x]<br />
  
    F[122,x,k[0]] = F[123,x,k[0]]<br />
  
    F[123,x,k[0]] = F[124,x,k[0]]*F[4,x]<br />
  
    F[124,x,k[0]] = 1/(-1+k[0])*(F[120,x,k[0]]*k[0]-F[120,x,1])<br />
  
    F[125,x,k[0]] = F[126,x,k[0]]*F[14,x,k[0]]<br />
  
    F[127,x,k[0]] = F[126,x,k[0]]+F[147,x,k[0]]<br />
  
    F[128,x,k[0]] = F[127,x,k[0]]*F[14,x,k[0]]<br />
  
    F[128,x,k[0]] = F[129,x,k[0]]<br />
  
    F[130,x,k[0]] = F[129,x,k[0]]+F[144,x,k[0]]<br />
  
    F[130,x,k[0]] = F[131,x,k[0]]+F[141,x,k[0]]<br />
  
    F[131,x,k[0]] = (F[132,x,k[0]]*k[0]-F[132,x,1])/(-1+k[0])<br />
  
    F[132,x,k[0]] = F[133,x,k[0]]+F[134,x,k[0]]<br />
  
    F[133,x,k[0]] = F[18,x]+F[38,x,k[0]]<br />
  
    F[134,x,k[0]] = F[135,x,k[0]]<br />
  
    F[135,x,k[0]] = F[136,x,k[0]]*F[4,x]<br />
  
    F[137,x,k[0]] = F[136,x,k[0]]*F[14,x,k[0]]<br />
  
    F[137,x,k[0]] = F[138,x,k[0]]<br />
  
    F[139,x,k[0]] = F[138,x,k[0]]+F[62,x]<br />
  
    F[140,x,k[0]] = (F[139,x,k[0]]*k[0]-F[139,x,1])/(-1+k[0])<br />
  
    F[140,x,k[0]] = F[111,x]+F[56,x,k[0]]<br />
  
    F[141,x,k[0]] = k[0]*F[142,x,k[0]]<br />
  
    F[142,x,k[0]] = (F[143,x,k[0]]*k[0]-F[143,x,1])/(-1+k[0])<br />
  
    F[143,x,k[0]] = F[135,x,k[0]]<br />
  
    F[144,x,k[0]] = F[145,x,k[0]]+F[61,x]<br />
  
    F[145,x,k[0]] = k[0]*F[146,x]<br />
  
    F[146,x] = F[113,x]<br />
  
    F[147,x,k[0]] = k[0]*F[148,x,k[0]]<br />
  
    F[148,x,k[0]] = F[149,x,k[0]]<br />
  
    F[149,x,k[0]] = F[150,x,k[0]]*F[159,x]*F[4,x]<br />
  
    F[150,x,k[0]] = F[151,x,k[0]]+F[32,x,k[0]]<br />
  
    F[151,x,k[0]] = F[152,x]+F[155,x,k[0]]<br />
  
    F[152,x] = F[153,x]<br />
  
    F[153,x] = F[154,x]*F[4,x]<br />
  
    F[154,x] = F[1,x]+F[152,x]<br />
  
    F[155,x,k[0]] = F[10,x]+F[156,x,k[0]]+F[158,x,k[0]]<br />
  
    F[156,x,k[0]] = F[157,x,k[0]]*F[4,x]<br />
  
    F[157,x,k[0]] = F[155,x,k[0]]+F[30,x,k[0]]<br />
  
    F[158,x,k[0]] = F[14,x,k[0]]*F[151,x,k[0]]<br />
  
    F[159,x] = 1/F[4,x]*F[160,x]<br />
  
    F[160,x] = F[100,x]<br />
  
    F[161,x,k[0]] = F[162,x,k[0]]<br />
  
    F[162,x,k[0]] = F[163,x,k[0]]*F[4,x]<br />
  
    F[163,x,k[0]] = F[164,x,k[0]]+F[165,x,k[0]]<br />
  
    F[164,x,k[0]] = 1/(-1+k[0])*(F[60,x,k[0]]*k[0]-F[60,x,1])<br />
  
    F[165,x,k[0]] = 1/(-1+k[0])*(F[148,x,k[0]]*k[0]-F[148,x,1])<br />
  
    F[166,x] = F[167,x]*F[4,x]<br />
  
    F[167,x] = F[166,x]+F[168,x]+F[61,x]<br />
  
    F[168,x] = F[169,x]<br />
  
    F[169,x] = F[170,x]*F[4,x]<br />
  
    F[170,x] = F[171,x]+F[172,x]<br />
  
    F[171,x] = F[60,x,1]<br />
  
    F[172,x] = F[147,x,1]<br />
  
    F[173,x,k[0]] = F[174,x]<br />
  
    F[174,x] = -F[167,x]+F[159,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_{4}\! \left(x \right) F_{5}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = x<br />
  
    F_{5}\! \left(x \right) = F_{1}\! \left(x \right)+F_{110}\! \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 , 1\right)<br />
  
    F_{8}\! \left(x , y\right) = F_{5}\! \left(x \right)+F_{9}\! \left(x , y\right)<br />
  
    F_{9}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{11}\! \left(x , y\right)+F_{13}\! \left(x , y\right)+F_{55}\! \left(x , y\right)<br />
  
    F_{10}\! \left(x \right) = 0<br />
  
    F_{11}\! \left(x , y\right) = F_{12}\! \left(x , y\right) F_{4}\! \left(x \right)<br />
  
    F_{12}\! \left(x , y\right) = -\frac{y \left(F_{9}\! \left(x , 1\right)-F_{9}\! \left(x , y\right)\right)}{-1+y}<br />
  
    F_{13}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{15}\! \left(x , y\right)<br />
  
    F_{14}\! \left(x , y\right) = y x<br />
  
    F_{15}\! \left(x , y\right) = F_{16}\! \left(x , y\right)+F_{53}\! \left(x , y\right)<br />
  
    F_{16}\! \left(x , y\right) = F_{17}\! \left(x , y\right)+F_{49}\! \left(x , y\right)<br />
  
    F_{17}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{29}\! \left(x , y\right)<br />
  
    F_{18}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{21}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{18}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{1}\! \left(x \right)+F_{23}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{19}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{29}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{33}\! \left(x , y\right)<br />
  
    F_{30}\! \left(x , y\right) = F_{31}\! \left(x , y\right)<br />
  
    F_{31}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{32}\! \left(x , y\right)<br />
  
    F_{32}\! \left(x , y\right) = F_{1}\! \left(x \right)+F_{30}\! \left(x , y\right)<br />
  
    F_{33}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{34}\! \left(x , y\right)+F_{36}\! \left(x , y\right)<br />
  
    F_{34}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{35}\! \left(x , y\right)<br />
  
    F_{35}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{33}\! \left(x , y\right)<br />
  
    F_{36}\! \left(x , y\right) = F_{37}\! \left(x , y\right) F_{4}\! \left(x \right)<br />
  
    F_{37}\! \left(x , y\right) = F_{38}\! \left(x , y\right)+F_{42}\! \left(x , y\right)<br />
  
    F_{38}\! \left(x , y\right) = F_{30}\! \left(x , y\right)+F_{39}\! \left(x , y\right)<br />
  
    F_{39}\! \left(x , y\right) = F_{40}\! \left(x , y\right)<br />
  
    F_{40}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{41}\! \left(x , y\right)<br />
  
    F_{41}\! \left(x , y\right) = F_{19}\! \left(x \right)+F_{39}\! \left(x , y\right)<br />
  
    F_{42}\! \left(x , y\right) = F_{43}\! \left(x , y\right)+F_{46}\! \left(x , y\right)<br />
  
    F_{43}\! \left(x , y\right) = F_{44}\! \left(x , y\right)<br />
  
    F_{44}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{45}\! \left(x , y\right)<br />
  
    F_{45}\! \left(x , y\right) = F_{23}\! \left(x \right)+F_{43}\! \left(x , y\right)<br />
  
    F_{46}\! \left(x , y\right) = F_{47}\! \left(x , y\right)<br />
  
    F_{47}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{48}\! \left(x , y\right)<br />
  
    F_{48}\! \left(x , y\right) = F_{26}\! \left(x \right)+F_{46}\! \left(x , y\right)<br />
  
    F_{49}\! \left(x , y\right) = F_{50}\! \left(x , y\right)<br />
  
    F_{50}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{51}\! \left(x , y\right)<br />
  
    F_{52}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{51}\! \left(x , y\right)<br />
  
    F_{52}\! \left(x , y\right) = F_{9}\! \left(x , y\right)<br />
  
    F_{53}\! \left(x , y\right) = y F_{54}\! \left(x , y\right)<br />
  
    F_{54}\! \left(x , y\right) = F_{50}\! \left(x , y\right)<br />
  
    F_{55}\! \left(x , y\right) = F_{4}\! \left(x \right) F_{56}\! \left(x , y\right)<br />
  
    F_{56}\! \left(x , y\right) = F_{57}\! \left(x , y\right)<br />
  
    F_{57}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{58}\! \left(x , y\right)<br />
  
    F_{58}\! \left(x , y\right) = F_{147}\! \left(x , y\right)+F_{59}\! \left(x , y\right)<br />
  
    F_{59}\! \left(x , y\right) = F_{173}\! \left(x , y\right)+F_{60}\! \left(x , y\right)<br />
  
    F_{60}\! \left(x , y\right) = F_{125}\! \left(x , y\right)+F_{161}\! \left(x , y\right)+F_{166}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{114}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{18}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{64}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{4}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{100}\! \left(x \right)+F_{62}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = -F_{5}\! \left(x \right)-F_{95}\! \left(x \right)+F_{67}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = \frac{F_{68}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{68}\! \left(x \right) = F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = -F_{70}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{1}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{4}\! \left(x \right) F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{18}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{75}\! \left(x \right)+F_{82}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{4}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{25}\! \left(x \right)+F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{4}\! \left(x \right)+F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{10}\! \left(x \right)+F_{80}\! \left(x \right)+F_{81}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{23}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{4}\! \left(x \right) F_{78}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{10}\! \left(x \right)+F_{83}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{4}\! \left(x \right) F_{84}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{28}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{86}\! \left(x \right)+F_{92}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{10}\! \left(x \right)+F_{87}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{19}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{4}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{4}\! \left(x \right)+F_{86}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{79}\! \left(x \right)+F_{92}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = 2 F_{10}\! \left(x \right)+F_{93}\! \left(x \right)+F_{94}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{26}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{4}\! \left(x \right) F_{85}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{4}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = \frac{F_{97}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{97}\! \left(x \right) = F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = \frac{F_{99}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{99}\! \left(x \right) = -F_{10}\! \left(x \right)-F_{6}\! \left(x \right)+F_{69}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = -F_{105}\! \left(x \right)-F_{62}\! \left(x \right)+F_{101}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = \frac{F_{102}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = -F_{104}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = x^{2} F_{104} \left(x \right)^{2}-2 x F_{104} \left(x \right)^{2}+F_{104}\! \left(x \right) x +2 F_{104}\! \left(x \right)-1<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = \frac{F_{107}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{107}\! \left(x \right) = F_{108}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = \frac{F_{109}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{109}\! \left(x \right) = -F_{10}\! \left(x \right)-F_{110}\! \left(x \right)+F_{103}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = F_{112}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{113}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = -F_{21}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = F_{115}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{117}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{119}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{120}\! \left(x , 1\right)<br />
  
    F_{120}\! \left(x , y\right) = F_{121}\! \left(x , y\right)+F_{148}\! \left(x , y\right)<br />
  
    F_{121}\! \left(x , y\right) = F_{122}\! \left(x , y\right)+F_{125}\! \left(x , y\right)+F_{61}\! \left(x \right)<br />
  
    F_{122}\! \left(x , y\right) = F_{123}\! \left(x , y\right)<br />
  
    F_{123}\! \left(x , y\right) = F_{124}\! \left(x , y\right) F_{4}\! \left(x \right)<br />
  
    F_{124}\! \left(x , y\right) = -\frac{-F_{120}\! \left(x , y\right) y +F_{120}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{125}\! \left(x , y\right) = F_{126}\! \left(x , y\right) F_{14}\! \left(x , y\right)<br />
  
    F_{127}\! \left(x , y\right) = F_{126}\! \left(x , y\right)+F_{147}\! \left(x , y\right)<br />
  
    F_{128}\! \left(x , y\right) = F_{127}\! \left(x , y\right) F_{14}\! \left(x , y\right)<br />
  
    F_{128}\! \left(x , y\right) = F_{129}\! \left(x , y\right)<br />
  
    F_{130}\! \left(x , y\right) = F_{129}\! \left(x , y\right)+F_{144}\! \left(x , y\right)<br />
  
    F_{130}\! \left(x , y\right) = F_{131}\! \left(x , y\right)+F_{141}\! \left(x , y\right)<br />
  
    F_{131}\! \left(x , y\right) = -\frac{-F_{132}\! \left(x , y\right) y +F_{132}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{132}\! \left(x , y\right) = F_{133}\! \left(x , y\right)+F_{134}\! \left(x , y\right)<br />
  
    F_{133}\! \left(x , y\right) = F_{18}\! \left(x \right)+F_{38}\! \left(x , y\right)<br />
  
    F_{134}\! \left(x , y\right) = F_{135}\! \left(x , y\right)<br />
  
    F_{135}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{4}\! \left(x \right)<br />
  
    F_{137}\! \left(x , y\right) = F_{136}\! \left(x , y\right) F_{14}\! \left(x , y\right)<br />
  
    F_{137}\! \left(x , y\right) = F_{138}\! \left(x , y\right)<br />
  
    F_{139}\! \left(x , y\right) = F_{138}\! \left(x , y\right)+F_{62}\! \left(x \right)<br />
  
    F_{140}\! \left(x , y\right) = -\frac{-F_{139}\! \left(x , y\right) y +F_{139}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{140}\! \left(x , y\right) = F_{111}\! \left(x \right)+F_{56}\! \left(x , y\right)<br />
  
    F_{141}\! \left(x , y\right) = y F_{142}\! \left(x , y\right)<br />
  
    F_{142}\! \left(x , y\right) = -\frac{-y F_{143}\! \left(x , y\right)+F_{143}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{143}\! \left(x , y\right) = F_{135}\! \left(x , y\right)<br />
  
    F_{144}\! \left(x , y\right) = F_{145}\! \left(x , y\right)+F_{61}\! \left(x \right)<br />
  
    F_{145}\! \left(x , y\right) = y F_{146}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{113}\! \left(x \right)<br />
  
    F_{147}\! \left(x , y\right) = y F_{148}\! \left(x , y\right)<br />
  
    F_{148}\! \left(x , y\right) = F_{149}\! \left(x , y\right)<br />
  
    F_{149}\! \left(x , y\right) = F_{150}\! \left(x , y\right) F_{159}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{150}\! \left(x , y\right) = F_{151}\! \left(x , y\right)+F_{32}\! \left(x , y\right)<br />
  
    F_{151}\! \left(x , y\right) = F_{152}\! \left(x \right)+F_{155}\! \left(x , y\right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{154}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{1}\! \left(x \right)+F_{152}\! \left(x \right)<br />
  
    F_{155}\! \left(x , y\right) = F_{10}\! \left(x \right)+F_{156}\! \left(x , y\right)+F_{158}\! \left(x , y\right)<br />
  
    F_{156}\! \left(x , y\right) = F_{157}\! \left(x , y\right) F_{4}\! \left(x \right)<br />
  
    F_{157}\! \left(x , y\right) = F_{155}\! \left(x , y\right)+F_{30}\! \left(x , y\right)<br />
  
    F_{158}\! \left(x , y\right) = F_{14}\! \left(x , y\right) F_{151}\! \left(x , y\right)<br />
  
    F_{159}\! \left(x \right) = \frac{F_{160}\! \left(x \right)}{F_{4}\! \left(x \right)}<br />
  
    F_{160}\! \left(x \right) = F_{100}\! \left(x \right)<br />
  
    F_{161}\! \left(x , y\right) = F_{162}\! \left(x , y\right)<br />
  
    F_{162}\! \left(x , y\right) = F_{163}\! \left(x , y\right) F_{4}\! \left(x \right)<br />
  
    F_{163}\! \left(x , y\right) = F_{164}\! \left(x , y\right)+F_{165}\! \left(x , y\right)<br />
  
    F_{164}\! \left(x , y\right) = -\frac{-F_{60}\! \left(x , y\right) y +F_{60}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{165}\! \left(x , y\right) = -\frac{-y F_{148}\! \left(x , y\right)+F_{148}\! \left(x , 1\right)}{-1+y}<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{166}\! \left(x \right)+F_{168}\! \left(x \right)+F_{61}\! \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_{4}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{172}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{60}\! \left(x , 1\right)<br />
  
    F_{172}\! \left(x \right) = F_{147}\! \left(x , 1\right)<br />
  
    F_{173}\! \left(x , y\right) = F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = -F_{167}\! \left(x \right)+F_{159}\! \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_4(x)*F_5(x))<br />
  
    Eq(F_4(x), x)<br />
  
    Eq(F_5(x), F_1(x) + F_110(x) + F_6(x))<br />
  
    Eq(F_6(x), F_4(x)*F_7(x))<br />
  
    Eq(F_7(x), F_8(x, 1))<br />
  
    Eq(F_8(x, k_0), F_5(x) + F_9(x, k_0))<br />
  
    Eq(F_9(x, k_0), F_10(x) + F_11(x, k_0) + F_13(x, k_0) + F_55(x, k_0))<br />
  
    Eq(F_10(x), 0)<br />
  
    Eq(F_11(x, k_0), F_12(x, k_0)*F_4(x))<br />
  
    Eq(F_12(x, k_0), -F_9(x, 1) + (k_0*F_9(x, k_0) - F_9(x, 1))/(k_0 - 1))<br />
  
    Eq(F_13(x, k_0), F_14(x, k_0)*F_15(x, k_0))<br />
  
    Eq(F_14(x, k_0), k_0*x)<br />
  
    Eq(F_15(x, k_0), F_16(x, k_0) + F_53(x, k_0))<br />
  
    Eq(F_16(x, k_0), F_17(x, k_0) + F_49(x, k_0))<br />
  
    Eq(F_17(x, k_0), F_18(x) + F_29(x, k_0))<br />
  
    Eq(F_18(x), F_1(x) + F_19(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_21(x)*F_4(x))<br />
  
    Eq(F_21(x), F_18(x) + F_22(x))<br />
  
    Eq(F_22(x), F_23(x) + F_26(x))<br />
  
    Eq(F_23(x), F_24(x))<br />
  
    Eq(F_24(x), F_25(x)*F_4(x))<br />
  
    Eq(F_25(x), F_1(x) + F_23(x))<br />
  
    Eq(F_26(x), F_27(x))<br />
  
    Eq(F_27(x), F_28(x)*F_4(x))<br />
  
    Eq(F_28(x), F_19(x) + F_26(x))<br />
  
    Eq(F_29(x, k_0), F_30(x, k_0) + F_33(x, k_0))<br />
  
    Eq(F_30(x, k_0), F_31(x, k_0))<br />
  
    Eq(F_31(x, k_0), F_14(x, k_0)*F_32(x, k_0))<br />
  
    Eq(F_32(x, k_0), F_1(x) + F_30(x, k_0))<br />
  
    Eq(F_33(x, k_0), F_10(x) + F_34(x, k_0) + F_36(x, k_0))<br />
  
    Eq(F_34(x, k_0), F_14(x, k_0)*F_35(x, k_0))<br />
  
    Eq(F_35(x, k_0), F_19(x) + F_33(x, k_0))<br />
  
    Eq(F_36(x, k_0), F_37(x, k_0)*F_4(x))<br />
  
    Eq(F_37(x, k_0), F_38(x, k_0) + F_42(x, k_0))<br />
  
    Eq(F_38(x, k_0), F_30(x, k_0) + F_39(x, k_0))<br />
  
    Eq(F_39(x, k_0), F_40(x, k_0))<br />
  
    Eq(F_40(x, k_0), F_14(x, k_0)*F_41(x, k_0))<br />
  
    Eq(F_41(x, k_0), F_19(x) + F_39(x, k_0))<br />
  
    Eq(F_42(x, k_0), F_43(x, k_0) + F_46(x, k_0))<br />
  
    Eq(F_43(x, k_0), F_44(x, k_0))<br />
  
    Eq(F_44(x, k_0), F_14(x, k_0)*F_45(x, k_0))<br />
  
    Eq(F_45(x, k_0), F_23(x) + F_43(x, k_0))<br />
  
    Eq(F_46(x, k_0), F_47(x, k_0))<br />
  
    Eq(F_47(x, k_0), F_14(x, k_0)*F_48(x, k_0))<br />
  
    Eq(F_48(x, k_0), F_26(x) + F_46(x, k_0))<br />
  
    Eq(F_49(x, k_0), F_50(x, k_0))<br />
  
    Eq(F_50(x, k_0), F_4(x)*F_51(x, k_0))<br />
  
    Eq(F_52(x, k_0), F_14(x, k_0)*F_51(x, k_0))<br />
  
    Eq(F_52(x, k_0), F_9(x, k_0))<br />
  
    Eq(F_53(x, k_0), k_0*F_54(x, k_0))<br />
  
    Eq(F_54(x, k_0), F_50(x, k_0))<br />
  
    Eq(F_55(x, k_0), F_4(x)*F_56(x, k_0))<br />
  
    Eq(F_56(x, k_0), F_57(x, k_0))<br />
  
    Eq(F_57(x, k_0), F_14(x, k_0)*F_58(x, k_0))<br />
  
    Eq(F_58(x, k_0), F_147(x, k_0) + F_59(x, k_0))<br />
  
    Eq(F_59(x, k_0), F_173(x, k_0) + F_60(x, k_0))<br />
  
    Eq(F_60(x, k_0), F_125(x, k_0) + F_161(x, k_0) + F_166(x) + F_61(x))<br />
  
    Eq(F_61(x), F_114(x) + F_62(x))<br />
  
    Eq(F_62(x), F_18(x) + F_63(x))<br />
  
    Eq(F_63(x), F_64(x))<br />
  
    Eq(F_64(x), F_4(x)*F_65(x))<br />
  
    Eq(F_65(x), F_100(x) + F_62(x) + F_66(x))<br />
  
    Eq(F_66(x), -F_5(x) + F_67(x) - F_95(x))<br />
  
    Eq(F_67(x), F_68(x)/F_4(x))<br />
  
    Eq(F_68(x), F_69(x))<br />
  
    Eq(F_69(x), F_5(x) - F_70(x))<br />
  
    Eq(F_70(x), F_1(x) + F_71(x))<br />
  
    Eq(F_71(x), F_72(x))<br />
  
    Eq(F_72(x), F_4(x)*F_73(x))<br />
  
    Eq(F_73(x), F_18(x) + F_74(x))<br />
  
    Eq(F_74(x), F_75(x) + F_82(x))<br />
  
    Eq(F_75(x), F_76(x))<br />
  
    Eq(F_76(x), F_4(x)*F_77(x))<br />
  
    Eq(F_77(x), F_25(x) + F_78(x))<br />
  
    Eq(F_78(x), F_4(x) + F_79(x))<br />
  
    Eq(F_79(x), F_10(x) + F_80(x) + F_81(x))<br />
  
    Eq(F_80(x), F_23(x)*F_4(x))<br />
  
    Eq(F_81(x), F_4(x)*F_78(x))<br />
  
    Eq(F_82(x), F_10(x) + F_83(x) + F_88(x))<br />
  
    Eq(F_83(x), F_4(x)*F_84(x))<br />
  
    Eq(F_84(x), F_28(x) + F_85(x))<br />
  
    Eq(F_85(x), F_86(x) + F_92(x))<br />
  
    Eq(F_86(x), F_10(x) + F_87(x) + F_88(x))<br />
  
    Eq(F_87(x), F_19(x)*F_4(x))<br />
  
    Eq(F_88(x), F_4(x)*F_89(x))<br />
  
    Eq(F_89(x), F_90(x) + F_91(x))<br />
  
    Eq(F_90(x), F_4(x) + F_86(x))<br />
  
    Eq(F_91(x), F_79(x) + F_92(x))<br />
  
    Eq(F_92(x), 2*F_10(x) + F_93(x) + F_94(x))<br />
  
    Eq(F_93(x), F_26(x)*F_4(x))<br />
  
    Eq(F_94(x), F_4(x)*F_85(x))<br />
  
    Eq(F_95(x), F_4(x)*F_96(x))<br />
  
    Eq(F_96(x), F_97(x)/F_4(x))<br />
  
    Eq(F_97(x), F_98(x))<br />
  
    Eq(F_98(x), F_99(x)/F_4(x))<br />
  
    Eq(F_99(x), -F_10(x) - F_6(x) + F_69(x))<br />
  
    Eq(F_100(x), F_101(x) - F_105(x) - F_62(x))<br />
  
    Eq(F_101(x), F_102(x)/F_4(x))<br />
  
    Eq(F_102(x), F_103(x))<br />
  
    Eq(F_103(x), -F_104(x) + F_5(x))<br />
  
    Eq(F_104(x), x*(x - 2)*F_104(x)**2 + (x + 2)*F_104(x) - 1)<br />
  
    Eq(F_105(x), F_106(x)*F_4(x))<br />
  
    Eq(F_106(x), F_107(x)/F_4(x))<br />
  
    Eq(F_107(x), F_108(x))<br />
  
    Eq(F_108(x), F_109(x)/F_4(x))<br />
  
    Eq(F_109(x), -F_10(x) + F_103(x) - F_110(x))<br />
  
    Eq(F_110(x), F_111(x)*F_4(x))<br />
  
    Eq(F_111(x), F_112(x) + F_62(x))<br />
  
    Eq(F_112(x), F_113(x))<br />
  
    Eq(F_113(x), -F_21(x) + F_61(x))<br />
  
    Eq(F_114(x), F_115(x))<br />
  
    Eq(F_115(x), F_116(x)*F_4(x))<br />
  
    Eq(F_116(x), F_117(x) + F_61(x))<br />
  
    Eq(F_117(x), F_118(x))<br />
  
    Eq(F_118(x), F_119(x)*F_4(x))<br />
  
    Eq(F_119(x), F_120(x, 1))<br />
  
    Eq(F_120(x, k_0), F_121(x, k_0) + F_148(x, k_0))<br />
  
    Eq(F_121(x, k_0), F_122(x, k_0) + F_125(x, k_0) + F_61(x))<br />
  
    Eq(F_122(x, k_0), F_123(x, k_0))<br />
  
    Eq(F_123(x, k_0), F_124(x, k_0)*F_4(x))<br />
  
    Eq(F_124(x, k_0), (k_0*F_120(x, k_0) - F_120(x, 1))/(k_0 - 1))<br />
  
    Eq(F_125(x, k_0), F_126(x, k_0)*F_14(x, k_0))<br />
  
    Eq(F_127(x, k_0), F_126(x, k_0) + F_147(x, k_0))<br />
  
    Eq(F_128(x, k_0), F_127(x, k_0)*F_14(x, k_0))<br />
  
    Eq(F_128(x, k_0), F_129(x, k_0))<br />
  
    Eq(F_130(x, k_0), F_129(x, k_0) + F_144(x, k_0))<br />
  
    Eq(F_130(x, k_0), F_131(x, k_0) + F_141(x, k_0))<br />
  
    Eq(F_131(x, k_0), (-k_0*F_132(x, k_0) + F_132(x, 1))/(1 - k_0))<br />
  
    Eq(F_132(x, k_0), F_133(x, k_0) + F_134(x, k_0))<br />
  
    Eq(F_133(x, k_0), F_18(x) + F_38(x, k_0))<br />
  
    Eq(F_134(x, k_0), F_135(x, k_0))<br />
  
    Eq(F_135(x, k_0), F_136(x, k_0)*F_4(x))<br />
  
    Eq(F_137(x, k_0), F_136(x, k_0)*F_14(x, k_0))<br />
  
    Eq(F_137(x, k_0), F_138(x, k_0))<br />
  
    Eq(F_139(x, k_0), F_138(x, k_0) + F_62(x))<br />
  
    Eq(F_140(x, k_0), (-k_0*F_139(x, k_0) + F_139(x, 1))/(1 - k_0))<br />
  
    Eq(F_140(x, k_0), F_111(x) + F_56(x, k_0))<br />
  
    Eq(F_141(x, k_0), k_0*F_142(x, k_0))<br />
  
    Eq(F_142(x, k_0), (-k_0*F_143(x, k_0) + F_143(x, 1))/(1 - k_0))<br />
  
    Eq(F_143(x, k_0), F_135(x, k_0))<br />
  
    Eq(F_144(x, k_0), F_145(x, k_0) + F_61(x))<br />
  
    Eq(F_145(x, k_0), k_0*F_146(x))<br />
  
    Eq(F_146(x), F_113(x))<br />
  
    Eq(F_147(x, k_0), k_0*F_148(x, k_0))<br />
  
    Eq(F_148(x, k_0), F_149(x, k_0))<br />
  
    Eq(F_149(x, k_0), F_150(x, k_0)*F_159(x)*F_4(x))<br />
  
    Eq(F_150(x, k_0), F_151(x, k_0) + F_32(x, k_0))<br />
  
    Eq(F_151(x, k_0), F_152(x) + F_155(x, k_0))<br />
  
    Eq(F_152(x), F_153(x))<br />
  
    Eq(F_153(x), F_154(x)*F_4(x))<br />
  
    Eq(F_154(x), F_1(x) + F_152(x))<br />
  
    Eq(F_155(x, k_0), F_10(x) + F_156(x, k_0) + F_158(x, k_0))<br />
  
    Eq(F_156(x, k_0), F_157(x, k_0)*F_4(x))<br />
  
    Eq(F_157(x, k_0), F_155(x, k_0) + F_30(x, k_0))<br />
  
    Eq(F_158(x, k_0), F_14(x, k_0)*F_151(x, k_0))<br />
  
    Eq(F_159(x), F_160(x)/F_4(x))<br />
  
    Eq(F_160(x), F_100(x))<br />
  
    Eq(F_161(x, k_0), F_162(x, k_0))<br />
  
    Eq(F_162(x, k_0), F_163(x, k_0)*F_4(x))<br />
  
    Eq(F_163(x, k_0), F_164(x, k_0) + F_165(x, k_0))<br />
  
    Eq(F_164(x, k_0), (k_0*F_60(x, k_0) - F_60(x, 1))/(k_0 - 1))<br />
  
    Eq(F_165(x, k_0), (k_0*F_148(x, k_0) - F_148(x, 1))/(k_0 - 1))<br />
  
    Eq(F_166(x), F_167(x)*F_4(x))<br />
  
    Eq(F_167(x), F_166(x) + F_168(x) + F_61(x))<br />
  
    Eq(F_168(x), F_169(x))<br />
  
    Eq(F_169(x), F_170(x)*F_4(x))<br />
  
    Eq(F_170(x), F_171(x) + F_172(x))<br />
  
    Eq(F_171(x), F_60(x, 1))<br />
  
    Eq(F_172(x), F_147(x, 1))<br />
  
    Eq(F_173(x, k_0), F_174(x))<br />
  
    Eq(F_174(x), F_159(x) - F_167(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_placements_tracked_fusion_tracked_component_fusion_symmetries&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.rearrange_assumption&#34;, &#34;strategy_class&#34;: &#34;RearrangeAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionFactory&#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.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionFactory&#34;, &#34;tracked&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.component&#34;, &#34;strategy_class&#34;: &#34;ComponentFusionFactory&#34;, &#34;tracked&#34;: true, &#34;isolation_level&#34;: null}, {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.monotone_sliding&#34;, &#34;strategy_class&#34;: &#34;MonotoneSlidingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.point_jumping&#34;, &#34;strategy_class&#34;: &#34;AssumptionAndPointJumpingFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;ComponentVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}], [{&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;FusableRowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: true, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.symmetry&#34;, &#34;strategy_class&#34;: &#34;SymmetriesFactory&#34;, &#34;basis&#34;: null}], &#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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 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&#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 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], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#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, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [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;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;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], [2, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [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;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [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;: [[0, 1], [0, 1], [1, 1], [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;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], 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[1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 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1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#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, 0], [0, 2], [2, 0], [2, 2]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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{&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#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;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 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;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 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[0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, 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&#34;pos&#34;: [[1, 0], [1, 2], [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, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 1]]}, {&#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], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [2, 1], [2, 3]], [[1, 2]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 2], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [2, 2], [2, 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], [2, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [2, 2], [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, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 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0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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, 1], [0, 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], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [1, 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, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [1, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 1]]}, {&#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, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 1]]}, {&#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], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 0], [2, 2], [2, 3]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 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, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 1], [2, 3], [2, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 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;: [[1, 1], [2, 1], [2, 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], [2, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [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;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 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[{&#34;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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 3], [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], [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, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, &#34;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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&#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, 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0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_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;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 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], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 0], [2, 1], [2, 5], [2, 6]], [[1, 4]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 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], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#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, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;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;: [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, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 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], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 2]]}, {&#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, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [1, 2]]}, {&#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], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], 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[0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, 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2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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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, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 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[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 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[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, 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[[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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], [0, 2], [0, 1], [0, 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3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [0, 1]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: 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[1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [2, 0], [2, 1], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 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, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [2, 0], [2, 2], [2, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#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, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 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;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, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 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, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 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4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 3], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 2], [1, 1]]}, {&#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, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 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;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, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 1], [1, 1]]}, {&#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], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 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;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 3]], [[1, 0], [1, 1], [1, 2], [1, 4]]]}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 2], [0, 1], [0, 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, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 1, &#34;col_idx&#34;: null, &#34;tracked&#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, 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[[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 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{&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 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;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], 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&#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 6], [0, 0], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 6], [0, 0], [0, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 6], [0, 0], [0, 0], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 0], [0, 6], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 0], [0, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [0, 6], [2, 0], [2, 1], [2, 5], [2, 6]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [0, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 5], [0, 0], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 5], [0, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 5], [0, 0], [0, 0], [0, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 5], [0, 0], [0, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [[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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 3], [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], [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, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#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;: [[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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [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, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [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], [2, 2], [2, 3]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [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, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [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, 0], [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;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, &#34;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, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 3], [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], [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, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 3]], [[1, 0], [1, 4], [1, 6], [3, 0], [3, 5], [3, 6]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#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;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 1, &#34;col_idx&#34;: null, &#34;tracked&#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, 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, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 4], [2, 0], [2, 3], [2, 4]], [[1, 1]]]}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 2, &#34;col_idx&#34;: null, &#34;tracked&#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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#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, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.detect_components&#34;, &#34;strategy_class&#34;: &#34;DetectComponentsStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: true, &#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#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, 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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 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, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, {&#34;class_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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3], [2, 0], [2, 4], [2, 5]]]}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 2, &#34;col_idx&#34;: null, &#34;tracked&#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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&#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, 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{&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionsStrategy&#34;, &#34;workable&#34;: false, &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#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, 1, 2], 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [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, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1], [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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 0], [1, 1], [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;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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{&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], 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0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 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&#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, 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{&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 3], [1, 4], [2, 0], [2, 2], [2, 5], [2, 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], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 3], [2, 0], [2, 2], [2, 4], [2, 5]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [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], [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, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [[1, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 2], [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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 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], [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, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [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]], [[1, 0], [1, 2], [2, 0], [2, 3], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 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, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 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;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [1, 4], [2, 0], [2, 2], [2, 5], [2, 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, 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, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 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, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 2, &#34;col_idx&#34;: null, &#34;tracked&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 7], [2, 7], [2, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 7], [2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: 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3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0], [2, 7], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0], [2, 7], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#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, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#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;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 6], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 3], [1, 4], [1, 5], [2, 0], [2, 2], [2, 6], [2, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 5]]}, {&#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, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#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;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 6], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 1], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 2], [0, 1], [0, 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, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}], &#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;tilings.strategies.fusion.fusion&#34;, &#34;rule_class&#34;: &#34;FusionRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#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, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 2], [0, 1], [0, 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, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionStrategy&#34;, &#34;row_idx&#34;: 1, &#34;col_idx&#34;: null, &#34;tracked&#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, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#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.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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [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, 1, 0], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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]], [[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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 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, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], 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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;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: 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1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;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], [1, 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], [1, 2]]}], &#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;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: 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&#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [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;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}], &#34;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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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{&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;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]]}, 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{&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 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], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [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;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, 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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [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], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [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], [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, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 3, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1], [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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 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], [2, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#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, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 2], [2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 1], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 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;: [[0, 2], [0, 2]]}, {&#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;: [[1, 4], [1, 3]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 4], [3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 3], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 3], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 4], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 4], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 0], [3, 4], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [3, 0], [3, 4], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 4], [3, 0], [3, 4], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 6], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 5], [3, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 6], [3, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [1, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [1, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[3, 6], [3, 6], [3, 6]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 6], [1, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 5], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 6], [1, 0], [1, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 6], [1, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 5], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 6], [1, 0], [1, 0], [1, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 6], [1, 0], [1, 6], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 6], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 6], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 0], [3, 6], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 6], [3, 0], [3, 6], [3, 0], [3, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[3, 6], [3, 0], [3, 6], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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, 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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, 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&#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#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, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 6], [0, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [0, 6], [2, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 6], [0, 0], [0, 6]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 6], [0, 0], [0, 6]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 6], [0, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 6], [0, 0], [0, 0], [0, 6]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 0], [0, 6], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 6], [0, 0], [0, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 1], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 1], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [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, 3, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2], [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, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 0], [1, 2], [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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 2], [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;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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[0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 4]]}, {&#34;patt&#34;: [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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 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{&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 5], [2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 5], [2, 0], [2, 5], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#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;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 2], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 6], [2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 5], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 5], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 6], [2, 0], [2, 6], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 5]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 7], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 7], [2, 7], [2, 7]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 3], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 7], [2, 7], [2, 7]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 6], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 6], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 7], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 0], [2, 7], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 7], [2, 7], [2, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0], [2, 7], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 0], [2, 7], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 0], [2, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 7], [2, 0], [2, 7], [2, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 2]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 3]]}, {&#34;patt&#34;: [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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 0], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}], &#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;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;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;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}], &#34;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;: [[0, 2]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]}]}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [4, 0, 1, 3, 2], [4, 0, 3, 1, 2], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: [{&#34;class_module&#34;: &#34;tilings.assumptions&#34;, &#34;assumption&#34;: &#34;TrackingAssumption&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}]}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />

  Specification 3<br />
  Strategy pack name: point_and_col_placements_req_corrob<br />
  Tree: http://permpal.com/tree/25752/<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[19,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[6,x]<br />
  
    F[6,x] = F[19,x]*F[7,x]<br />
  
    F[7,x] = 1/F[19,x]*F[8,x]<br />
  
    F[8,x] = F[9,x]<br />
  
    F[9,x] = F[10,x]<br />
  
    F[10,x] = F[11,x]*F[19,x]<br />
  
    F[11,x] = F[12,x]+F[258,x]<br />
  
    F[12,x] = F[13,x]+F[14,x]<br />
  
    F[13,x] = F[0,x]+F[9,x]<br />
  
    F[14,x] = F[15,x]<br />
  
    F[15,x] = F[16,x]*F[161,x]*F[19,x]<br />
  
    F[16,x] = F[17,x]+F[249,x]+F[250,x]<br />
  
    F[17,x] = F[1,x]+F[18,x]+F[20,x]<br />
  
    F[18,x] = F[17,x]*F[19,x]<br />
  
    F[19,x] = x<br />
  
    F[20,x] = F[19,x]*F[21,x]<br />
  
    F[21,x] = F[17,x]+F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = -F[244,x]+F[24,x]<br />
  
    F[24,x] = F[25,x]+F[4,x]<br />
  
    F[25,x] = -F[239,x]+F[26,x]<br />
  
    F[26,x] = 1/F[19,x]*F[27,x]<br />
  
    F[27,x] = F[28,x]<br />
  
    F[28,x] = F[237,x]+F[29,x]+F[30,x]<br />
  
    F[29,x] = 0<br />
  
    F[30,x] = F[19,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = F[33,x]+F[43,x]<br />
  
    F[33,x] = F[34,x]<br />
  
    F[34,x] = -F[42,x]+F[35,x]<br />
  
    F[35,x] = F[1,x]+F[36,x]+F[41,x]<br />
  
    F[36,x] = F[19,x]*F[37,x]<br />
  
    F[37,x] = 1/F[19,x]*F[38,x]<br />
  
    F[38,x] = -F[1,x]-F[39,x]+F[4,x]<br />
  
    F[39,x] = F[19,x]*F[40,x]<br />
  
    F[40,x] = F[31,x]+F[35,x]<br />
  
    F[41,x] = F[19,x]*F[40,x]<br />
  
    F[42,x] = -1+F[42,x]^2*(x^2-2*x)+(2+x)*F[42,x]<br />
  
    F[43,x] = F[44,x]<br />
  
    F[44,x] = F[19,x]*F[45,x]<br />
  
    F[45,x] = F[234,x]+F[46,x]<br />
  
    F[46,x] = F[47,x]<br />
  
    F[47,x] = F[120,x]*F[19,x]*F[48,x]<br />
  
    F[48,x] = F[49,x]+F[75,x]<br />
  
    F[49,x] = F[50,x]+F[51,x]<br />
  
    F[50,x] = F[1,x]+F[19,x]<br />
  
    F[51,x] = F[52,x]+F[63,x]<br />
  
    F[52,x] = F[53,x]<br />
  
    F[53,x] = F[19,x]*F[54,x]<br />
  
    F[54,x] = F[55,x]+F[56,x]<br />
  
    F[55,x] = F[1,x]+F[52,x]<br />
  
    F[56,x] = F[57,x]+F[60,x]<br />
  
    F[57,x] = F[58,x]<br />
  
    F[58,x] = F[19,x]*F[59,x]<br />
  
    F[59,x] = F[1,x]+F[57,x]<br />
  
    F[60,x] = F[61,x]<br />
  
    F[61,x] = F[19,x]*F[62,x]<br />
  
    F[62,x] = F[52,x]+F[60,x]<br />
  
    F[63,x] = F[29,x]+F[64,x]+F[74,x]<br />
  
    F[64,x] = F[19,x]*F[65,x]<br />
  
    F[65,x] = F[66,x]+F[67,x]<br />
  
    F[66,x] = F[19,x]+F[63,x]<br />
  
    F[67,x] = F[68,x]+F[71,x]<br />
  
    F[68,x] = F[69,x]<br />
  
    F[69,x] = F[19,x]*F[70,x]<br />
  
    F[70,x] = F[19,x]+F[68,x]<br />
  
    F[71,x] = F[72,x]<br />
  
    F[72,x] = F[19,x]*F[73,x]<br />
  
    F[73,x] = F[63,x]+F[71,x]<br />
  
    F[74,x] = F[19,x]*F[57,x]<br />
  
    F[75,x] = F[76,x]+F[84,x]<br />
  
    F[76,x] = F[77,x]+F[80,x]<br />
  
    F[77,x] = F[78,x]<br />
  
    F[78,x] = F[19,x]*F[79,x]<br />
  
    F[79,x] = F[1,x]+F[77,x]<br />
  
    F[80,x] = F[29,x]+F[81,x]+F[83,x]<br />
  
    F[81,x] = F[19,x]*F[82,x]<br />
  
    F[82,x] = F[19,x]+F[80,x]<br />
  
    F[83,x] = F[19,x]*F[77,x]<br />
  
    F[84,x] = F[102,x]+F[85,x]<br />
  
    F[85,x] = F[29,x]+F[86,x]+F[88,x]<br />
  
    F[86,x] = F[19,x]*F[87,x]<br />
  
    F[87,x] = F[52,x]+F[85,x]<br />
  
    F[88,x] = F[19,x]*F[89,x]<br />
  
    F[89,x] = F[90,x]+F[91,x]<br />
  
    F[90,x] = F[77,x]+F[85,x]<br />
  
    F[91,x] = F[92,x]+F[97,x]<br />
  
    F[92,x] = F[29,x]+F[93,x]+F[95,x]<br />
  
    F[93,x] = F[19,x]*F[94,x]<br />
  
    F[94,x] = F[57,x]+F[92,x]<br />
  
    F[95,x] = F[19,x]*F[96,x]<br />
  
    F[96,x] = F[77,x]+F[92,x]<br />
  
    F[97,x] = 2*F[29,x]+F[100,x]+F[98,x]<br />
  
    F[98,x] = F[19,x]*F[99,x]<br />
  
    F[99,x] = F[60,x]+F[97,x]<br />
  
    F[100,x] = F[101,x]*F[19,x]<br />
  
    F[101,x] = F[85,x]+F[97,x]<br />
  
    F[102,x] = F[103,x]+F[105,x]+F[119,x]+F[29,x]<br />
  
    F[103,x] = F[104,x]*F[19,x]<br />
  
    F[104,x] = F[102,x]+F[63,x]<br />
  
    F[105,x] = F[106,x]*F[19,x]<br />
  
    F[106,x] = F[107,x]+F[108,x]<br />
  
    F[107,x] = F[102,x]+F[80,x]<br />
  
    F[108,x] = F[109,x]+F[114,x]<br />
  
    F[109,x] = 2*F[29,x]+F[110,x]+F[112,x]<br />
  
    F[110,x] = F[111,x]*F[19,x]<br />
  
    F[111,x] = F[109,x]+F[68,x]<br />
  
    F[112,x] = F[113,x]*F[19,x]<br />
  
    F[113,x] = F[109,x]+F[80,x]<br />
  
    F[114,x] = 3*F[29,x]+F[115,x]+F[117,x]<br />
  
    F[115,x] = F[116,x]*F[19,x]<br />
  
    F[116,x] = F[114,x]+F[71,x]<br />
  
    F[117,x] = F[118,x]*F[19,x]<br />
  
    F[118,x] = F[102,x]+F[114,x]<br />
  
    F[119,x] = F[19,x]*F[92,x]<br />
  
    F[120,x] = F[121,x]+F[42,x]<br />
  
    F[121,x] = F[122,x]<br />
  
    F[122,x] = F[123,x]*F[19,x]<br />
  
    F[123,x] = F[124,x]+F[228,x]<br />
  
    F[124,x] = F[120,x]+F[125,x]<br />
  
    F[125,x] = F[126,x]<br />
  
    F[126,x] = F[127,x]*F[19,x]<br />
  
    F[127,x] = 1/F[19,x]*F[128,x]<br />
  
    F[128,x] = F[129,x]<br />
  
    F[129,x] = F[130,x]+F[226,x]<br />
  
    F[130,x] = F[131,x]+F[166,x]<br />
  
    F[131,x] = F[132,x]*F[19,x]<br />
  
    F[132,x] = F[133,x]+F[42,x]<br />
  
    F[133,x] = F[134,x]<br />
  
    F[134,x] = F[135,x]*F[19,x]<br />
  
    F[135,x] = F[136,x]+F[164,x]<br />
  
    F[136,x] = F[132,x]+F[137,x]<br />
  
    F[137,x] = F[138,x]<br />
  
    F[138,x] = F[139,x]*F[161,x]*F[19,x]<br />
  
    F[139,x] = F[1,x]+F[140,x]+F[141,x]+F[160,x]<br />
  
    F[140,x] = F[139,x]*F[19,x]<br />
  
    F[141,x] = F[142,x]*F[19,x]<br />
  
    F[142,x] = 1/F[19,x]*F[143,x]<br />
  
    F[143,x] = -F[1,x]-F[150,x]-F[152,x]+F[144,x]<br />
  
    F[144,x] = F[145,x]+F[148,x]<br />
  
    F[145,x] = F[1,x]+F[146,x]+F[147,x]<br />
  
    F[146,x] = F[145,x]*F[19,x]<br />
  
    F[147,x] = F[144,x]*F[19,x]<br />
  
    F[148,x] = F[149,x]<br />
  
    F[149,x] = F[144,x]*F[145,x]*F[19,x]<br />
  
    F[150,x] = F[151,x]*F[19,x]<br />
  
    F[151,x] = F[59,x]+F[96,x]<br />
  
    F[152,x] = F[153,x]*F[19,x]<br />
  
    F[153,x] = F[139,x]+F[154,x]<br />
  
    F[154,x] = F[155,x]<br />
  
    F[155,x] = 2*F[29,x]+F[156,x]+F[158,x]<br />
  
    F[156,x] = F[157,x]<br />
  
    F[157,x] = F[155,x]*F[19,x]<br />
  
    F[158,x] = F[159,x]*F[19,x]<br />
  
    F[159,x] = F[145,x]+F[155,x]<br />
  
    F[160,x] = F[153,x]*F[19,x]<br />
  
    F[161,x] = F[162,x]+F[42,x]<br />
  
    F[162,x] = F[163,x]<br />
  
    F[163,x] = F[135,x]*F[19,x]<br />
  
    F[164,x] = F[165,x]<br />
  
    F[165,x] = F[151,x]*F[161,x]*F[19,x]<br />
  
    F[166,x] = F[167,x]<br />
  
    F[167,x] = F[139,x]*F[168,x]*F[19,x]<br />
  
    F[168,x] = F[169,x]+F[194,x]<br />
  
    F[169,x] = F[170,x]+F[189,x]<br />
  
    F[170,x] = F[171,x]+F[188,x]+F[29,x]<br />
  
    F[171,x] = F[172,x]*F[19,x]<br />
  
    F[172,x] = F[170,x]+F[173,x]<br />
  
    F[173,x] = F[174,x]<br />
  
    F[174,x] = F[175,x]*F[19,x]<br />
  
    F[175,x] = F[176,x]+F[177,x]<br />
  
    F[176,x] = F[144,x]*F[170,x]<br />
  
    F[177,x] = F[178,x]*F[42,x]<br />
  
    F[178,x] = F[179,x]+F[183,x]<br />
  
    F[179,x] = F[180,x]+F[181,x]+F[182,x]+F[29,x]<br />
  
    F[180,x] = F[179,x]*F[19,x]<br />
  
    F[181,x] = F[178,x]*F[19,x]<br />
  
    F[182,x] = F[145,x]*F[19,x]<br />
  
    F[183,x] = F[184,x]<br />
  
    F[184,x] = F[185,x]*F[19,x]<br />
  
    F[185,x] = F[186,x]+F[187,x]<br />
  
    F[186,x] = F[144,x]*F[179,x]<br />
  
    F[187,x] = F[145,x]*F[178,x]<br />
  
    F[188,x] = F[19,x]*F[42,x]<br />
  
    F[189,x] = F[190,x]<br />
  
    F[190,x] = F[19,x]*F[191,x]<br />
  
    F[191,x] = F[130,x]+F[192,x]<br />
  
    F[192,x] = F[193,x]<br />
  
    F[193,x] = F[151,x]*F[168,x]*F[19,x]<br />
  
    F[194,x] = F[195,x]+F[225,x]+F[29,x]<br />
  
    F[195,x] = F[196,x]<br />
  
    F[196,x] = F[19,x]*F[197,x]<br />
  
    F[197,x] = -F[224,x]+F[198,x]<br />
  
    F[198,x] = 1/F[19,x]*F[199,x]<br />
  
    F[199,x] = F[200,x]<br />
  
    F[200,x] = -F[217,x]+F[201,x]<br />
  
    F[201,x] = F[202,x]+F[212,x]<br />
  
    F[202,x] = 1/F[19,x]*F[203,x]<br />
  
    F[203,x] = -F[1,x]-F[208,x]+F[204,x]<br />
  
    F[204,x] = F[205,x]+F[42,x]<br />
  
    F[205,x] = F[206,x]<br />
  
    F[206,x] = F[170,x]+F[207,x]<br />
  
    F[207,x] = F[43,x]<br />
  
    F[208,x] = F[19,x]*F[209,x]<br />
  
    F[209,x] = F[204,x]+F[210,x]<br />
  
    F[210,x] = F[211,x]<br />
  
    F[211,x] = F[151,x]*F[19,x]*F[204,x]<br />
  
    F[212,x] = F[213,x]<br />
  
    F[213,x] = F[214,x]+F[216,x]+F[218,x]+F[29,x]<br />
  
    F[214,x] = F[215,x]<br />
  
    F[215,x] = F[19,x]*F[213,x]<br />
  
    F[216,x] = F[19,x]*F[217,x]<br />
  
    F[217,x] = F[204,x]+F[213,x]<br />
  
    F[218,x] = F[19,x]*F[219,x]<br />
  
    F[219,x] = F[220,x]<br />
  
    F[220,x] = 2*F[29,x]+F[221,x]+F[222,x]+F[223,x]<br />
  
    F[221,x] = F[222,x]<br />
  
    F[222,x] = F[19,x]*F[220,x]<br />
  
    F[223,x] = F[19,x]*F[209,x]<br />
  
    F[224,x] = F[135,x]+F[191,x]<br />
  
    F[225,x] = F[161,x]*F[19,x]<br />
  
    F[226,x] = F[227,x]<br />
  
    F[227,x] = F[151,x]*F[169,x]*F[19,x]<br />
  
    F[228,x] = F[229,x]<br />
  
    F[229,x] = -F[125,x]+F[230,x]<br />
  
    F[230,x] = 1/F[19,x]*F[231,x]<br />
  
    F[231,x] = F[232,x]<br />
  
    F[232,x] = F[19,x]*F[233,x]<br />
  
    F[233,x] = F[191,x]+F[197,x]<br />
  
    F[234,x] = F[235,x]<br />
  
    F[235,x] = F[151,x]*F[19,x]*F[236,x]*F[42,x]<br />
  
    F[236,x] = F[55,x]+F[90,x]<br />
  
    F[237,x] = F[19,x]*F[238,x]<br />
  
    F[238,x] = -F[35,x]+F[37,x]<br />
  
    F[239,x] = F[240,x]+F[247,x]<br />
  
    F[240,x] = -F[244,x]+F[241,x]<br />
  
    F[241,x] = F[13,x]+F[242,x]<br />
  
    F[242,x] = F[243,x]<br />
  
    F[243,x] = F[120,x]*F[19,x]*F[21,x]<br />
  
    F[244,x] = F[0,x]+F[245,x]<br />
  
    F[245,x] = F[246,x]<br />
  
    F[246,x] = F[19,x]*F[21,x]*F[42,x]<br />
  
    F[247,x] = F[248,x]<br />
  
    F[248,x] = F[161,x]*F[19,x]*F[23,x]<br />
  
    F[249,x] = F[16,x]*F[19,x]<br />
  
    F[250,x] = F[251,x]<br />
  
    F[251,x] = -F[244,x]-F[252,x]+F[7,x]<br />
  
    F[252,x] = F[19,x]*F[253,x]<br />
  
    F[253,x] = 1/F[19,x]*F[254,x]<br />
  
    F[254,x] = F[255,x]<br />
  
    F[255,x] = 1/F[19,x]*F[256,x]<br />
  
    F[256,x] = -F[257,x]-F[29,x]+F[5,x]<br />
  
    F[257,x] = F[19,x]*F[24,x]<br />
  
    F[258,x] = F[259,x]<br />
  
    F[259,x] = F[19,x]*F[21,x]*F[260,x]<br />
  
    F[260,x] = F[161,x]+F[261,x]<br />
  
    F[261,x] = F[262,x]<br />
  
    F[262,x] = F[19,x]*F[263,x]<br />
  
    F[263,x] = 1/F[19,x]*F[264,x]<br />
  
    F[264,x] = F[197,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_{19}\! \left(x \right) F_{4}\! \left(x \right)<br />
  
    F_{4}\! \left(x \right) = F_{0}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{5}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{19}\! \left(x \right) F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = \frac{F_{8}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{8}\! \left(x \right) = F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{258}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right)+F_{14}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = F_{0}\! \left(x \right)+F_{9}\! \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_{161}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = F_{17}\! \left(x \right)+F_{249}\! \left(x \right)+F_{250}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{1}\! \left(x \right)+F_{18}\! \left(x \right)+F_{20}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{17}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = x<br />
  
    F_{20}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{17}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = -F_{244}\! \left(x \right)+F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = -F_{239}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = \frac{F_{27}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{27}\! \left(x \right) = F_{28}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{237}\! \left(x \right)+F_{29}\! \left(x \right)+F_{30}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = 0<br />
  
    F_{30}\! \left(x \right) = F_{19}\! \left(x \right) F_{31}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{33}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = -F_{42}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{1}\! \left(x \right)+F_{36}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{19}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = \frac{F_{38}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{38}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{39}\! \left(x \right)+F_{4}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{19}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{31}\! \left(x \right)+F_{35}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{19}\! \left(x \right) F_{40}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = x^{2} F_{42} \left(x \right)^{2}-2 x F_{42} \left(x \right)^{2}+x F_{42}\! \left(x \right)+2 F_{42}\! \left(x \right)-1<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{19}\! \left(x \right) F_{45}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{234}\! \left(x \right)+F_{46}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{120}\! \left(x \right) F_{19}\! \left(x \right) F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{49}\! \left(x \right)+F_{75}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{50}\! \left(x \right)+F_{51}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{1}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{52}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{19}\! \left(x \right) F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{55}\! \left(x \right)+F_{56}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{1}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{57}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{58}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{19}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{1}\! \left(x \right)+F_{57}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{61}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{19}\! \left(x \right) F_{62}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{52}\! \left(x \right)+F_{60}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{29}\! \left(x \right)+F_{64}\! \left(x \right)+F_{74}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{19}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{66}\! \left(x \right)+F_{67}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{19}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{67}\! \left(x \right) = F_{68}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{68}\! \left(x \right) = F_{69}\! \left(x \right)<br />
  
    F_{69}\! \left(x \right) = F_{19}\! \left(x \right) F_{70}\! \left(x \right)<br />
  
    F_{70}\! \left(x \right) = F_{19}\! \left(x \right)+F_{68}\! \left(x \right)<br />
  
    F_{71}\! \left(x \right) = F_{72}\! \left(x \right)<br />
  
    F_{72}\! \left(x \right) = F_{19}\! \left(x \right) F_{73}\! \left(x \right)<br />
  
    F_{73}\! \left(x \right) = F_{63}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{74}\! \left(x \right) = F_{19}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{75}\! \left(x \right) = F_{76}\! \left(x \right)+F_{84}\! \left(x \right)<br />
  
    F_{76}\! \left(x \right) = F_{77}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{77}\! \left(x \right) = F_{78}\! \left(x \right)<br />
  
    F_{78}\! \left(x \right) = F_{19}\! \left(x \right) F_{79}\! \left(x \right)<br />
  
    F_{79}\! \left(x \right) = F_{1}\! \left(x \right)+F_{77}\! \left(x \right)<br />
  
    F_{80}\! \left(x \right) = F_{29}\! \left(x \right)+F_{81}\! \left(x \right)+F_{83}\! \left(x \right)<br />
  
    F_{81}\! \left(x \right) = F_{19}\! \left(x \right) F_{82}\! \left(x \right)<br />
  
    F_{82}\! \left(x \right) = F_{19}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{83}\! \left(x \right) = F_{19}\! \left(x \right) F_{77}\! \left(x \right)<br />
  
    F_{84}\! \left(x \right) = F_{102}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{85}\! \left(x \right) = F_{29}\! \left(x \right)+F_{86}\! \left(x \right)+F_{88}\! \left(x \right)<br />
  
    F_{86}\! \left(x \right) = F_{19}\! \left(x \right) F_{87}\! \left(x \right)<br />
  
    F_{87}\! \left(x \right) = F_{52}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{88}\! \left(x \right) = F_{19}\! \left(x \right) F_{89}\! \left(x \right)<br />
  
    F_{89}\! \left(x \right) = F_{90}\! \left(x \right)+F_{91}\! \left(x \right)<br />
  
    F_{90}\! \left(x \right) = F_{77}\! \left(x \right)+F_{85}\! \left(x \right)<br />
  
    F_{91}\! \left(x \right) = F_{92}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{92}\! \left(x \right) = F_{29}\! \left(x \right)+F_{93}\! \left(x \right)+F_{95}\! \left(x \right)<br />
  
    F_{93}\! \left(x \right) = F_{19}\! \left(x \right) F_{94}\! \left(x \right)<br />
  
    F_{94}\! \left(x \right) = F_{57}\! \left(x \right)+F_{92}\! \left(x \right)<br />
  
    F_{95}\! \left(x \right) = F_{19}\! \left(x \right) F_{96}\! \left(x \right)<br />
  
    F_{96}\! \left(x \right) = F_{77}\! \left(x \right)+F_{92}\! \left(x \right)<br />
  
    F_{97}\! \left(x \right) = 2 F_{29}\! \left(x \right)+F_{100}\! \left(x \right)+F_{98}\! \left(x \right)<br />
  
    F_{98}\! \left(x \right) = F_{19}\! \left(x \right) F_{99}\! \left(x \right)<br />
  
    F_{99}\! \left(x \right) = F_{60}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{100}\! \left(x \right) = F_{101}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{101}\! \left(x \right) = F_{85}\! \left(x \right)+F_{97}\! \left(x \right)<br />
  
    F_{102}\! \left(x \right) = F_{103}\! \left(x \right)+F_{105}\! \left(x \right)+F_{119}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{103}\! \left(x \right) = F_{104}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{104}\! \left(x \right) = F_{102}\! \left(x \right)+F_{63}\! \left(x \right)<br />
  
    F_{105}\! \left(x \right) = F_{106}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{106}\! \left(x \right) = F_{107}\! \left(x \right)+F_{108}\! \left(x \right)<br />
  
    F_{107}\! \left(x \right) = F_{102}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{108}\! \left(x \right) = F_{109}\! \left(x \right)+F_{114}\! \left(x \right)<br />
  
    F_{109}\! \left(x \right) = 2 F_{29}\! \left(x \right)+F_{110}\! \left(x \right)+F_{112}\! \left(x \right)<br />
  
    F_{110}\! \left(x \right) = F_{111}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{111}\! \left(x \right) = F_{109}\! \left(x \right)+F_{68}\! \left(x \right)<br />
  
    F_{112}\! \left(x \right) = F_{113}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{113}\! \left(x \right) = F_{109}\! \left(x \right)+F_{80}\! \left(x \right)<br />
  
    F_{114}\! \left(x \right) = 3 F_{29}\! \left(x \right)+F_{115}\! \left(x \right)+F_{117}\! \left(x \right)<br />
  
    F_{115}\! \left(x \right) = F_{116}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{116}\! \left(x \right) = F_{114}\! \left(x \right)+F_{71}\! \left(x \right)<br />
  
    F_{117}\! \left(x \right) = F_{118}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{118}\! \left(x \right) = F_{102}\! \left(x \right)+F_{114}\! \left(x \right)<br />
  
    F_{119}\! \left(x \right) = F_{19}\! \left(x \right) F_{92}\! \left(x \right)<br />
  
    F_{120}\! \left(x \right) = F_{121}\! \left(x \right)+F_{42}\! \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_{19}\! \left(x \right)<br />
  
    F_{123}\! \left(x \right) = F_{124}\! \left(x \right)+F_{228}\! \left(x \right)<br />
  
    F_{124}\! \left(x \right) = F_{120}\! \left(x \right)+F_{125}\! \left(x \right)<br />
  
    F_{125}\! \left(x \right) = F_{126}\! \left(x \right)<br />
  
    F_{126}\! \left(x \right) = F_{127}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{127}\! \left(x \right) = \frac{F_{128}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{128}\! \left(x \right) = F_{129}\! \left(x \right)<br />
  
    F_{129}\! \left(x \right) = F_{130}\! \left(x \right)+F_{226}\! \left(x \right)<br />
  
    F_{130}\! \left(x \right) = F_{131}\! \left(x \right)+F_{166}\! \left(x \right)<br />
  
    F_{131}\! \left(x \right) = F_{132}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{132}\! \left(x \right) = F_{133}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{133}\! \left(x \right) = F_{134}\! \left(x \right)<br />
  
    F_{134}\! \left(x \right) = F_{135}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{135}\! \left(x \right) = F_{136}\! \left(x \right)+F_{164}\! \left(x \right)<br />
  
    F_{136}\! \left(x \right) = F_{132}\! \left(x \right)+F_{137}\! \left(x \right)<br />
  
    F_{137}\! \left(x \right) = F_{138}\! \left(x \right)<br />
  
    F_{138}\! \left(x \right) = F_{139}\! \left(x \right) F_{161}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{139}\! \left(x \right) = F_{1}\! \left(x \right)+F_{140}\! \left(x \right)+F_{141}\! \left(x \right)+F_{160}\! \left(x \right)<br />
  
    F_{140}\! \left(x \right) = F_{139}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{141}\! \left(x \right) = F_{142}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{142}\! \left(x \right) = \frac{F_{143}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{143}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{150}\! \left(x \right)-F_{152}\! \left(x \right)+F_{144}\! \left(x \right)<br />
  
    F_{144}\! \left(x \right) = F_{145}\! \left(x \right)+F_{148}\! \left(x \right)<br />
  
    F_{145}\! \left(x \right) = F_{1}\! \left(x \right)+F_{146}\! \left(x \right)+F_{147}\! \left(x \right)<br />
  
    F_{146}\! \left(x \right) = F_{145}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{147}\! \left(x \right) = F_{144}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{148}\! \left(x \right) = F_{149}\! \left(x \right)<br />
  
    F_{149}\! \left(x \right) = F_{144}\! \left(x \right) F_{145}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{150}\! \left(x \right) = F_{151}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{151}\! \left(x \right) = F_{59}\! \left(x \right)+F_{96}\! \left(x \right)<br />
  
    F_{152}\! \left(x \right) = F_{153}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{153}\! \left(x \right) = F_{139}\! \left(x \right)+F_{154}\! \left(x \right)<br />
  
    F_{154}\! \left(x \right) = F_{155}\! \left(x \right)<br />
  
    F_{155}\! \left(x \right) = 2 F_{29}\! \left(x \right)+F_{156}\! \left(x \right)+F_{158}\! \left(x \right)<br />
  
    F_{156}\! \left(x \right) = F_{157}\! \left(x \right)<br />
  
    F_{157}\! \left(x \right) = F_{155}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{158}\! \left(x \right) = F_{159}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{159}\! \left(x \right) = F_{145}\! \left(x \right)+F_{155}\! \left(x \right)<br />
  
    F_{160}\! \left(x \right) = F_{153}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{161}\! \left(x \right) = F_{162}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{162}\! \left(x \right) = F_{163}\! \left(x \right)<br />
  
    F_{163}\! \left(x \right) = F_{135}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{164}\! \left(x \right) = F_{165}\! \left(x \right)<br />
  
    F_{165}\! \left(x \right) = F_{151}\! \left(x \right) F_{161}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{166}\! \left(x \right) = F_{167}\! \left(x \right)<br />
  
    F_{167}\! \left(x \right) = F_{139}\! \left(x \right) F_{168}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{168}\! \left(x \right) = F_{169}\! \left(x \right)+F_{194}\! \left(x \right)<br />
  
    F_{169}\! \left(x \right) = F_{170}\! \left(x \right)+F_{189}\! \left(x \right)<br />
  
    F_{170}\! \left(x \right) = F_{171}\! \left(x \right)+F_{188}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{171}\! \left(x \right) = F_{172}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{172}\! \left(x \right) = F_{170}\! \left(x \right)+F_{173}\! \left(x \right)<br />
  
    F_{173}\! \left(x \right) = F_{174}\! \left(x \right)<br />
  
    F_{174}\! \left(x \right) = F_{175}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{175}\! \left(x \right) = F_{176}\! \left(x \right)+F_{177}\! \left(x \right)<br />
  
    F_{176}\! \left(x \right) = F_{144}\! \left(x \right) F_{170}\! \left(x \right)<br />
  
    F_{177}\! \left(x \right) = F_{178}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{178}\! \left(x \right) = F_{179}\! \left(x \right)+F_{183}\! \left(x \right)<br />
  
    F_{179}\! \left(x \right) = F_{180}\! \left(x \right)+F_{181}\! \left(x \right)+F_{182}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{180}\! \left(x \right) = F_{179}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{181}\! \left(x \right) = F_{178}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{182}\! \left(x \right) = F_{145}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{183}\! \left(x \right) = F_{184}\! \left(x \right)<br />
  
    F_{184}\! \left(x \right) = F_{185}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{185}\! \left(x \right) = F_{186}\! \left(x \right)+F_{187}\! \left(x \right)<br />
  
    F_{186}\! \left(x \right) = F_{144}\! \left(x \right) F_{179}\! \left(x \right)<br />
  
    F_{187}\! \left(x \right) = F_{145}\! \left(x \right) F_{178}\! \left(x \right)<br />
  
    F_{188}\! \left(x \right) = F_{19}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{189}\! \left(x \right) = F_{190}\! \left(x \right)<br />
  
    F_{190}\! \left(x \right) = F_{19}\! \left(x \right) F_{191}\! \left(x \right)<br />
  
    F_{191}\! \left(x \right) = F_{130}\! \left(x \right)+F_{192}\! \left(x \right)<br />
  
    F_{192}\! \left(x \right) = F_{193}\! \left(x \right)<br />
  
    F_{193}\! \left(x \right) = F_{151}\! \left(x \right) F_{168}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{194}\! \left(x \right) = F_{195}\! \left(x \right)+F_{225}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{195}\! \left(x \right) = F_{196}\! \left(x \right)<br />
  
    F_{196}\! \left(x \right) = F_{19}\! \left(x \right) F_{197}\! \left(x \right)<br />
  
    F_{197}\! \left(x \right) = -F_{224}\! \left(x \right)+F_{198}\! \left(x \right)<br />
  
    F_{198}\! \left(x \right) = \frac{F_{199}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{199}\! \left(x \right) = F_{200}\! \left(x \right)<br />
  
    F_{200}\! \left(x \right) = -F_{217}\! \left(x \right)+F_{201}\! \left(x \right)<br />
  
    F_{201}\! \left(x \right) = F_{202}\! \left(x \right)+F_{212}\! \left(x \right)<br />
  
    F_{202}\! \left(x \right) = \frac{F_{203}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{203}\! \left(x \right) = -F_{1}\! \left(x \right)-F_{208}\! \left(x \right)+F_{204}\! \left(x \right)<br />
  
    F_{204}\! \left(x \right) = F_{205}\! \left(x \right)+F_{42}\! \left(x \right)<br />
  
    F_{205}\! \left(x \right) = F_{206}\! \left(x \right)<br />
  
    F_{206}\! \left(x \right) = F_{170}\! \left(x \right)+F_{207}\! \left(x \right)<br />
  
    F_{207}\! \left(x \right) = F_{43}\! \left(x \right)<br />
  
    F_{208}\! \left(x \right) = F_{19}\! \left(x \right) F_{209}\! \left(x \right)<br />
  
    F_{209}\! \left(x \right) = F_{204}\! \left(x \right)+F_{210}\! \left(x \right)<br />
  
    F_{210}\! \left(x \right) = F_{211}\! \left(x \right)<br />
  
    F_{211}\! \left(x \right) = F_{151}\! \left(x \right) F_{19}\! \left(x \right) F_{204}\! \left(x \right)<br />
  
    F_{212}\! \left(x \right) = F_{213}\! \left(x \right)<br />
  
    F_{213}\! \left(x \right) = F_{214}\! \left(x \right)+F_{216}\! \left(x \right)+F_{218}\! \left(x \right)+F_{29}\! \left(x \right)<br />
  
    F_{214}\! \left(x \right) = F_{215}\! \left(x \right)<br />
  
    F_{215}\! \left(x \right) = F_{19}\! \left(x \right) F_{213}\! \left(x \right)<br />
  
    F_{216}\! \left(x \right) = F_{19}\! \left(x \right) F_{217}\! \left(x \right)<br />
  
    F_{217}\! \left(x \right) = F_{204}\! \left(x \right)+F_{213}\! \left(x \right)<br />
  
    F_{218}\! \left(x \right) = F_{19}\! \left(x \right) F_{219}\! \left(x \right)<br />
  
    F_{219}\! \left(x \right) = F_{220}\! \left(x \right)<br />
  
    F_{220}\! \left(x \right) = 2 F_{29}\! \left(x \right)+F_{221}\! \left(x \right)+F_{222}\! \left(x \right)+F_{223}\! \left(x \right)<br />
  
    F_{221}\! \left(x \right) = F_{222}\! \left(x \right)<br />
  
    F_{222}\! \left(x \right) = F_{19}\! \left(x \right) F_{220}\! \left(x \right)<br />
  
    F_{223}\! \left(x \right) = F_{19}\! \left(x \right) F_{209}\! \left(x \right)<br />
  
    F_{224}\! \left(x \right) = F_{135}\! \left(x \right)+F_{191}\! \left(x \right)<br />
  
    F_{225}\! \left(x \right) = F_{161}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{226}\! \left(x \right) = F_{227}\! \left(x \right)<br />
  
    F_{227}\! \left(x \right) = F_{151}\! \left(x \right) F_{169}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{228}\! \left(x \right) = F_{229}\! \left(x \right)<br />
  
    F_{229}\! \left(x \right) = -F_{125}\! \left(x \right)+F_{230}\! \left(x \right)<br />
  
    F_{230}\! \left(x \right) = \frac{F_{231}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{231}\! \left(x \right) = F_{232}\! \left(x \right)<br />
  
    F_{232}\! \left(x \right) = F_{19}\! \left(x \right) F_{233}\! \left(x \right)<br />
  
    F_{233}\! \left(x \right) = F_{191}\! \left(x \right)+F_{197}\! \left(x \right)<br />
  
    F_{234}\! \left(x \right) = F_{235}\! \left(x \right)<br />
  
    F_{235}\! \left(x \right) = F_{151}\! \left(x \right) F_{19}\! \left(x \right) F_{236}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{236}\! \left(x \right) = F_{55}\! \left(x \right)+F_{90}\! \left(x \right)<br />
  
    F_{237}\! \left(x \right) = F_{19}\! \left(x \right) F_{238}\! \left(x \right)<br />
  
    F_{238}\! \left(x \right) = -F_{35}\! \left(x \right)+F_{37}\! \left(x \right)<br />
  
    F_{239}\! \left(x \right) = F_{240}\! \left(x \right)+F_{247}\! \left(x \right)<br />
  
    F_{240}\! \left(x \right) = -F_{244}\! \left(x \right)+F_{241}\! \left(x \right)<br />
  
    F_{241}\! \left(x \right) = F_{13}\! \left(x \right)+F_{242}\! \left(x \right)<br />
  
    F_{242}\! \left(x \right) = F_{243}\! \left(x \right)<br />
  
    F_{243}\! \left(x \right) = F_{120}\! \left(x \right) F_{19}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{244}\! \left(x \right) = F_{0}\! \left(x \right)+F_{245}\! \left(x \right)<br />
  
    F_{245}\! \left(x \right) = F_{246}\! \left(x \right)<br />
  
    F_{246}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{42}\! \left(x \right)<br />
  
    F_{247}\! \left(x \right) = F_{248}\! \left(x \right)<br />
  
    F_{248}\! \left(x \right) = F_{161}\! \left(x \right) F_{19}\! \left(x \right) F_{23}\! \left(x \right)<br />
  
    F_{249}\! \left(x \right) = F_{16}\! \left(x \right) F_{19}\! \left(x \right)<br />
  
    F_{250}\! \left(x \right) = F_{251}\! \left(x \right)<br />
  
    F_{251}\! \left(x \right) = -F_{244}\! \left(x \right)-F_{252}\! \left(x \right)+F_{7}\! \left(x \right)<br />
  
    F_{252}\! \left(x \right) = F_{19}\! \left(x \right) F_{253}\! \left(x \right)<br />
  
    F_{253}\! \left(x \right) = \frac{F_{254}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{254}\! \left(x \right) = F_{255}\! \left(x \right)<br />
  
    F_{255}\! \left(x \right) = \frac{F_{256}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{256}\! \left(x \right) = -F_{257}\! \left(x \right)-F_{29}\! \left(x \right)+F_{5}\! \left(x \right)<br />
  
    F_{257}\! \left(x \right) = F_{19}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{258}\! \left(x \right) = F_{259}\! \left(x \right)<br />
  
    F_{259}\! \left(x \right) = F_{19}\! \left(x \right) F_{21}\! \left(x \right) F_{260}\! \left(x \right)<br />
  
    F_{260}\! \left(x \right) = F_{161}\! \left(x \right)+F_{261}\! \left(x \right)<br />
  
    F_{261}\! \left(x \right) = F_{262}\! \left(x \right)<br />
  
    F_{262}\! \left(x \right) = F_{19}\! \left(x \right) F_{263}\! \left(x \right)<br />
  
    F_{263}\! \left(x \right) = \frac{F_{264}\! \left(x \right)}{F_{19}\! \left(x \right)}<br />
  
    F_{264}\! \left(x \right) = F_{197}\! \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_19(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_6(x))<br />
  
    Eq(F_6(x), F_19(x)*F_7(x))<br />
  
    Eq(F_7(x), F_8(x)/F_19(x))<br />
  
    Eq(F_8(x), F_9(x))<br />
  
    Eq(F_9(x), F_10(x))<br />
  
    Eq(F_10(x), F_11(x)*F_19(x))<br />
  
    Eq(F_11(x), F_12(x) + F_258(x))<br />
  
    Eq(F_12(x), F_13(x) + F_14(x))<br />
  
    Eq(F_13(x), F_0(x) + F_9(x))<br />
  
    Eq(F_14(x), F_15(x))<br />
  
    Eq(F_15(x), F_16(x)*F_161(x)*F_19(x))<br />
  
    Eq(F_16(x), F_17(x) + F_249(x) + F_250(x))<br />
  
    Eq(F_17(x), F_1(x) + F_18(x) + F_20(x))<br />
  
    Eq(F_18(x), F_17(x)*F_19(x))<br />
  
    Eq(F_19(x), x)<br />
  
    Eq(F_20(x), F_19(x)*F_21(x))<br />
  
    Eq(F_21(x), F_17(x) + F_22(x))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_24(x) - F_244(x))<br />
  
    Eq(F_24(x), F_25(x) + F_4(x))<br />
  
    Eq(F_25(x), -F_239(x) + F_26(x))<br />
  
    Eq(F_26(x), F_27(x)/F_19(x))<br />
  
    Eq(F_27(x), F_28(x))<br />
  
    Eq(F_28(x), F_237(x) + F_29(x) + F_30(x))<br />
  
    Eq(F_29(x), 0)<br />
  
    Eq(F_30(x), F_19(x)*F_31(x))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), F_33(x) + F_43(x))<br />
  
    Eq(F_33(x), F_34(x))<br />
  
    Eq(F_34(x), F_35(x) - F_42(x))<br />
  
    Eq(F_35(x), F_1(x) + F_36(x) + F_41(x))<br />
  
    Eq(F_36(x), F_19(x)*F_37(x))<br />
  
    Eq(F_37(x), F_38(x)/F_19(x))<br />
  
    Eq(F_38(x), -F_1(x) - F_39(x) + F_4(x))<br />
  
    Eq(F_39(x), F_19(x)*F_40(x))<br />
  
    Eq(F_40(x), F_31(x) + F_35(x))<br />
  
    Eq(F_41(x), F_19(x)*F_40(x))<br />
  
    Eq(F_42(x), x*(x - 2)*F_42(x)**2 + (x + 2)*F_42(x) - 1)<br />
  
    Eq(F_43(x), F_44(x))<br />
  
    Eq(F_44(x), F_19(x)*F_45(x))<br />
  
    Eq(F_45(x), F_234(x) + F_46(x))<br />
  
    Eq(F_46(x), F_47(x))<br />
  
    Eq(F_47(x), F_120(x)*F_19(x)*F_48(x))<br />
  
    Eq(F_48(x), F_49(x) + F_75(x))<br />
  
    Eq(F_49(x), F_50(x) + F_51(x))<br />
  
    Eq(F_50(x), F_1(x) + F_19(x))<br />
  
    Eq(F_51(x), F_52(x) + F_63(x))<br />
  
    Eq(F_52(x), F_53(x))<br />
  
    Eq(F_53(x), F_19(x)*F_54(x))<br />
  
    Eq(F_54(x), F_55(x) + F_56(x))<br />
  
    Eq(F_55(x), F_1(x) + F_52(x))<br />
  
    Eq(F_56(x), F_57(x) + F_60(x))<br />
  
    Eq(F_57(x), F_58(x))<br />
  
    Eq(F_58(x), F_19(x)*F_59(x))<br />
  
    Eq(F_59(x), F_1(x) + F_57(x))<br />
  
    Eq(F_60(x), F_61(x))<br />
  
    Eq(F_61(x), F_19(x)*F_62(x))<br />
  
    Eq(F_62(x), F_52(x) + F_60(x))<br />
  
    Eq(F_63(x), F_29(x) + F_64(x) + F_74(x))<br />
  
    Eq(F_64(x), F_19(x)*F_65(x))<br />
  
    Eq(F_65(x), F_66(x) + F_67(x))<br />
  
    Eq(F_66(x), F_19(x) + F_63(x))<br />
  
    Eq(F_67(x), F_68(x) + F_71(x))<br />
  
    Eq(F_68(x), F_69(x))<br />
  
    Eq(F_69(x), F_19(x)*F_70(x))<br />
  
    Eq(F_70(x), F_19(x) + F_68(x))<br />
  
    Eq(F_71(x), F_72(x))<br />
  
    Eq(F_72(x), F_19(x)*F_73(x))<br />
  
    Eq(F_73(x), F_63(x) + F_71(x))<br />
  
    Eq(F_74(x), F_19(x)*F_57(x))<br />
  
    Eq(F_75(x), F_76(x) + F_84(x))<br />
  
    Eq(F_76(x), F_77(x) + F_80(x))<br />
  
    Eq(F_77(x), F_78(x))<br />
  
    Eq(F_78(x), F_19(x)*F_79(x))<br />
  
    Eq(F_79(x), F_1(x) + F_77(x))<br />
  
    Eq(F_80(x), F_29(x) + F_81(x) + F_83(x))<br />
  
    Eq(F_81(x), F_19(x)*F_82(x))<br />
  
    Eq(F_82(x), F_19(x) + F_80(x))<br />
  
    Eq(F_83(x), F_19(x)*F_77(x))<br />
  
    Eq(F_84(x), F_102(x) + F_85(x))<br />
  
    Eq(F_85(x), F_29(x) + F_86(x) + F_88(x))<br />
  
    Eq(F_86(x), F_19(x)*F_87(x))<br />
  
    Eq(F_87(x), F_52(x) + F_85(x))<br />
  
    Eq(F_88(x), F_19(x)*F_89(x))<br />
  
    Eq(F_89(x), F_90(x) + F_91(x))<br />
  
    Eq(F_90(x), F_77(x) + F_85(x))<br />
  
    Eq(F_91(x), F_92(x) + F_97(x))<br />
  
    Eq(F_92(x), F_29(x) + F_93(x) + F_95(x))<br />
  
    Eq(F_93(x), F_19(x)*F_94(x))<br />
  
    Eq(F_94(x), F_57(x) + F_92(x))<br />
  
    Eq(F_95(x), F_19(x)*F_96(x))<br />
  
    Eq(F_96(x), F_77(x) + F_92(x))<br />
  
    Eq(F_97(x), F_100(x) + 2*F_29(x) + F_98(x))<br />
  
    Eq(F_98(x), F_19(x)*F_99(x))<br />
  
    Eq(F_99(x), F_60(x) + F_97(x))<br />
  
    Eq(F_100(x), F_101(x)*F_19(x))<br />
  
    Eq(F_101(x), F_85(x) + F_97(x))<br />
  
    Eq(F_102(x), F_103(x) + F_105(x) + F_119(x) + F_29(x))<br />
  
    Eq(F_103(x), F_104(x)*F_19(x))<br />
  
    Eq(F_104(x), F_102(x) + F_63(x))<br />
  
    Eq(F_105(x), F_106(x)*F_19(x))<br />
  
    Eq(F_106(x), F_107(x) + F_108(x))<br />
  
    Eq(F_107(x), F_102(x) + F_80(x))<br />
  
    Eq(F_108(x), F_109(x) + F_114(x))<br />
  
    Eq(F_109(x), F_110(x) + F_112(x) + 2*F_29(x))<br />
  
    Eq(F_110(x), F_111(x)*F_19(x))<br />
  
    Eq(F_111(x), F_109(x) + F_68(x))<br />
  
    Eq(F_112(x), F_113(x)*F_19(x))<br />
  
    Eq(F_113(x), F_109(x) + F_80(x))<br />
  
    Eq(F_114(x), F_115(x) + F_117(x) + 3*F_29(x))<br />
  
    Eq(F_115(x), F_116(x)*F_19(x))<br />
  
    Eq(F_116(x), F_114(x) + F_71(x))<br />
  
    Eq(F_117(x), F_118(x)*F_19(x))<br />
  
    Eq(F_118(x), F_102(x) + F_114(x))<br />
  
    Eq(F_119(x), F_19(x)*F_92(x))<br />
  
    Eq(F_120(x), F_121(x) + F_42(x))<br />
  
    Eq(F_121(x), F_122(x))<br />
  
    Eq(F_122(x), F_123(x)*F_19(x))<br />
  
    Eq(F_123(x), F_124(x) + F_228(x))<br />
  
    Eq(F_124(x), F_120(x) + F_125(x))<br />
  
    Eq(F_125(x), F_126(x))<br />
  
    Eq(F_126(x), F_127(x)*F_19(x))<br />
  
    Eq(F_127(x), F_128(x)/F_19(x))<br />
  
    Eq(F_128(x), F_129(x))<br />
  
    Eq(F_129(x), F_130(x) + F_226(x))<br />
  
    Eq(F_130(x), F_131(x) + F_166(x))<br />
  
    Eq(F_131(x), F_132(x)*F_19(x))<br />
  
    Eq(F_132(x), F_133(x) + F_42(x))<br />
  
    Eq(F_133(x), F_134(x))<br />
  
    Eq(F_134(x), F_135(x)*F_19(x))<br />
  
    Eq(F_135(x), F_136(x) + F_164(x))<br />
  
    Eq(F_136(x), F_132(x) + F_137(x))<br />
  
    Eq(F_137(x), F_138(x))<br />
  
    Eq(F_138(x), F_139(x)*F_161(x)*F_19(x))<br />
  
    Eq(F_139(x), F_1(x) + F_140(x) + F_141(x) + F_160(x))<br />
  
    Eq(F_140(x), F_139(x)*F_19(x))<br />
  
    Eq(F_141(x), F_142(x)*F_19(x))<br />
  
    Eq(F_142(x), F_143(x)/F_19(x))<br />
  
    Eq(F_143(x), -F_1(x) + F_144(x) - F_150(x) - F_152(x))<br />
  
    Eq(F_144(x), F_145(x) + F_148(x))<br />
  
    Eq(F_145(x), F_1(x) + F_146(x) + F_147(x))<br />
  
    Eq(F_146(x), F_145(x)*F_19(x))<br />
  
    Eq(F_147(x), F_144(x)*F_19(x))<br />
  
    Eq(F_148(x), F_149(x))<br />
  
    Eq(F_149(x), F_144(x)*F_145(x)*F_19(x))<br />
  
    Eq(F_150(x), F_151(x)*F_19(x))<br />
  
    Eq(F_151(x), F_59(x) + F_96(x))<br />
  
    Eq(F_152(x), F_153(x)*F_19(x))<br />
  
    Eq(F_153(x), F_139(x) + F_154(x))<br />
  
    Eq(F_154(x), F_155(x))<br />
  
    Eq(F_155(x), F_156(x) + F_158(x) + 2*F_29(x))<br />
  
    Eq(F_156(x), F_157(x))<br />
  
    Eq(F_157(x), F_155(x)*F_19(x))<br />
  
    Eq(F_158(x), F_159(x)*F_19(x))<br />
  
    Eq(F_159(x), F_145(x) + F_155(x))<br />
  
    Eq(F_160(x), F_153(x)*F_19(x))<br />
  
    Eq(F_161(x), F_162(x) + F_42(x))<br />
  
    Eq(F_162(x), F_163(x))<br />
  
    Eq(F_163(x), F_135(x)*F_19(x))<br />
  
    Eq(F_164(x), F_165(x))<br />
  
    Eq(F_165(x), F_151(x)*F_161(x)*F_19(x))<br />
  
    Eq(F_166(x), F_167(x))<br />
  
    Eq(F_167(x), F_139(x)*F_168(x)*F_19(x))<br />
  
    Eq(F_168(x), F_169(x) + F_194(x))<br />
  
    Eq(F_169(x), F_170(x) + F_189(x))<br />
  
    Eq(F_170(x), F_171(x) + F_188(x) + F_29(x))<br />
  
    Eq(F_171(x), F_172(x)*F_19(x))<br />
  
    Eq(F_172(x), F_170(x) + F_173(x))<br />
  
    Eq(F_173(x), F_174(x))<br />
  
    Eq(F_174(x), F_175(x)*F_19(x))<br />
  
    Eq(F_175(x), F_176(x) + F_177(x))<br />
  
    Eq(F_176(x), F_144(x)*F_170(x))<br />
  
    Eq(F_177(x), F_178(x)*F_42(x))<br />
  
    Eq(F_178(x), F_179(x) + F_183(x))<br />
  
    Eq(F_179(x), F_180(x) + F_181(x) + F_182(x) + F_29(x))<br />
  
    Eq(F_180(x), F_179(x)*F_19(x))<br />
  
    Eq(F_181(x), F_178(x)*F_19(x))<br />
  
    Eq(F_182(x), F_145(x)*F_19(x))<br />
  
    Eq(F_183(x), F_184(x))<br />
  
    Eq(F_184(x), F_185(x)*F_19(x))<br />
  
    Eq(F_185(x), F_186(x) + F_187(x))<br />
  
    Eq(F_186(x), F_144(x)*F_179(x))<br />
  
    Eq(F_187(x), F_145(x)*F_178(x))<br />
  
    Eq(F_188(x), F_19(x)*F_42(x))<br />
  
    Eq(F_189(x), F_190(x))<br />
  
    Eq(F_190(x), F_19(x)*F_191(x))<br />
  
    Eq(F_191(x), F_130(x) + F_192(x))<br />
  
    Eq(F_192(x), F_193(x))<br />
  
    Eq(F_193(x), F_151(x)*F_168(x)*F_19(x))<br />
  
    Eq(F_194(x), F_195(x) + F_225(x) + F_29(x))<br />
  
    Eq(F_195(x), F_196(x))<br />
  
    Eq(F_196(x), F_19(x)*F_197(x))<br />
  
    Eq(F_197(x), F_198(x) - F_224(x))<br />
  
    Eq(F_198(x), F_199(x)/F_19(x))<br />
  
    Eq(F_199(x), F_200(x))<br />
  
    Eq(F_200(x), F_201(x) - F_217(x))<br />
  
    Eq(F_201(x), F_202(x) + F_212(x))<br />
  
    Eq(F_202(x), F_203(x)/F_19(x))<br />
  
    Eq(F_203(x), -F_1(x) + F_204(x) - F_208(x))<br />
  
    Eq(F_204(x), F_205(x) + F_42(x))<br />
  
    Eq(F_205(x), F_206(x))<br />
  
    Eq(F_206(x), F_170(x) + F_207(x))<br />
  
    Eq(F_207(x), F_43(x))<br />
  
    Eq(F_208(x), F_19(x)*F_209(x))<br />
  
    Eq(F_209(x), F_204(x) + F_210(x))<br />
  
    Eq(F_210(x), F_211(x))<br />
  
    Eq(F_211(x), F_151(x)*F_19(x)*F_204(x))<br />
  
    Eq(F_212(x), F_213(x))<br />
  
    Eq(F_213(x), F_214(x) + F_216(x) + F_218(x) + F_29(x))<br />
  
    Eq(F_214(x), F_215(x))<br />
  
    Eq(F_215(x), F_19(x)*F_213(x))<br />
  
    Eq(F_216(x), F_19(x)*F_217(x))<br />
  
    Eq(F_217(x), F_204(x) + F_213(x))<br />
  
    Eq(F_218(x), F_19(x)*F_219(x))<br />
  
    Eq(F_219(x), F_220(x))<br />
  
    Eq(F_220(x), F_221(x) + F_222(x) + F_223(x) + 2*F_29(x))<br />
  
    Eq(F_221(x), F_222(x))<br />
  
    Eq(F_222(x), F_19(x)*F_220(x))<br />
  
    Eq(F_223(x), F_19(x)*F_209(x))<br />
  
    Eq(F_224(x), F_135(x) + F_191(x))<br />
  
    Eq(F_225(x), F_161(x)*F_19(x))<br />
  
    Eq(F_226(x), F_227(x))<br />
  
    Eq(F_227(x), F_151(x)*F_169(x)*F_19(x))<br />
  
    Eq(F_228(x), F_229(x))<br />
  
    Eq(F_229(x), -F_125(x) + F_230(x))<br />
  
    Eq(F_230(x), F_231(x)/F_19(x))<br />
  
    Eq(F_231(x), F_232(x))<br />
  
    Eq(F_232(x), F_19(x)*F_233(x))<br />
  
    Eq(F_233(x), F_191(x) + F_197(x))<br />
  
    Eq(F_234(x), F_235(x))<br />
  
    Eq(F_235(x), F_151(x)*F_19(x)*F_236(x)*F_42(x))<br />
  
    Eq(F_236(x), F_55(x) + F_90(x))<br />
  
    Eq(F_237(x), F_19(x)*F_238(x))<br />
  
    Eq(F_238(x), -F_35(x) + F_37(x))<br />
  
    Eq(F_239(x), F_240(x) + F_247(x))<br />
  
    Eq(F_240(x), F_241(x) - F_244(x))<br />
  
    Eq(F_241(x), F_13(x) + F_242(x))<br />
  
    Eq(F_242(x), F_243(x))<br />
  
    Eq(F_243(x), F_120(x)*F_19(x)*F_21(x))<br />
  
    Eq(F_244(x), F_0(x) + F_245(x))<br />
  
    Eq(F_245(x), F_246(x))<br />
  
    Eq(F_246(x), F_19(x)*F_21(x)*F_42(x))<br />
  
    Eq(F_247(x), F_248(x))<br />
  
    Eq(F_248(x), F_161(x)*F_19(x)*F_23(x))<br />
  
    Eq(F_249(x), F_16(x)*F_19(x))<br />
  
    Eq(F_250(x), F_251(x))<br />
  
    Eq(F_251(x), -F_244(x) - F_252(x) + F_7(x))<br />
  
    Eq(F_252(x), F_19(x)*F_253(x))<br />
  
    Eq(F_253(x), F_254(x)/F_19(x))<br />
  
    Eq(F_254(x), F_255(x))<br />
  
    Eq(F_255(x), F_256(x)/F_19(x))<br />
  
    Eq(F_256(x), -F_257(x) - F_29(x) + F_5(x))<br />
  
    Eq(F_257(x), F_19(x)*F_24(x))<br />
  
    Eq(F_258(x), F_259(x))<br />
  
    Eq(F_259(x), F_19(x)*F_21(x)*F_260(x))<br />
  
    Eq(F_260(x), F_161(x) + F_261(x))<br />
  
    Eq(F_261(x), F_262(x))<br />
  
    Eq(F_262(x), F_19(x)*F_263(x))<br />
  
    Eq(F_263(x), F_264(x)/F_19(x))<br />
  
    Eq(F_264(x), F_197(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;point_and_col_placements_req_corrob&#34;, &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;interleaving&#34;: null, &#34;unions&#34;: false, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;tracked&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;PointCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementCorroborationFactory&#34;, &#34;ignore_parent&#34;: true}], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;, &#34;ignore_parent&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [], &#34;symmetry&#34;: false}], &#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;point_only&#34;: false}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RowAndColumnPlacementFactory&#34;, &#34;partial&#34;: false, &#34;ignore_parent&#34;: false, &#34;dirs&#34;: [0, 1, 2, 3], &#34;place_row&#34;: false, &#34;place_col&#34;: true}]], &#34;symmetries&#34;: [], &#34;iterative&#34;: false}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 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, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [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;: [3, 2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 0], [0, 0], [0, 0], [0, 0], [0, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 0], [0, 0], [0, 0], [0, 0], [0, 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, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3]]}, {&#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], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 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], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [1, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [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_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, &#34;idx&#34;: 1}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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[1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 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[0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 5], [2, 0], [2, 1], [2, 4]], [[1, 3]]]}}, 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&#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [2, 0], [2, 1], [2, 2], [2, 4]], [[1, 3]]]}}, &#34;idx&#34;: 0}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, 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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], [0, 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]]}, 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[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 3], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3], [1, 2]]}, 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[{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 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, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {&#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2], [0, 2]]}, {&#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], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2], [0, 1]]}], &#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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&#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [1, 0], [1, 2], [1, 3]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: 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0, 1, 3, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[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, 1], [0, 4]]}, {&#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], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], 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true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 2], [0, 4]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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[[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2]], [[1, 3]], [[2, 0], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#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, 3], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 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, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [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, 2]], [[1, 0], [1, 1], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.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;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#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, 2], [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, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 4], [1, 2], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 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], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 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, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 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, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], 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0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;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, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#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, 1, 2], &#34;pos&#34;: [[0, 0], [1, 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&#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;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#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], [2, 2]]}, 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{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], 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&#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [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;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 0]]}], &#34;indices&#34;: [0, 0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [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;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 0], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#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], [2, 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, 0], [2, 0], [2, 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&#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, 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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, 1], [0, 3]], [[1, 0], [3, 0]], [[2, 2]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: 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{&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [2, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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{&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3], [2, 0], [2, 1], [2, 4]], [[1, 5]]]}}, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 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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], [0, 2]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 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&#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;: [[1, 2]]}, {&#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;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;pos&#34;: [[0, 0], [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], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 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[0, 1], [0, 3], [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, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: 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&#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 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, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: 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1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 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;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#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, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;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;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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2]], [[1, 0], [1, 1], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 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{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 3], [2, 0], [2, 2], [2, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, 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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], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 4]], [[1, 0], [3, 0]], [[2, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: 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[0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: 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[0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], 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{&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 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3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [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, 1], &#34;pos&#34;: [[0, 0], [0, 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, 2], [0, 1]]}, {&#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, 1], [0, 2], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 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[0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], 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[[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;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], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], 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[1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [2, 0], [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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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], [2, 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&#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [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], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [0, 1], &#34;pos&#34;: [[1, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 2], [3, 2]]}, {&#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], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [3, 2]]}, {&#34;patt&#34;: [0, 1, 2], 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[2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 2], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 2], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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], 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&#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], 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&#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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 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3], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [1, 3]]}], &#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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [1, 1], [1, 3]], [[2, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#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], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 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;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [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], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 4], [1, 1], [1, 4]], [[2, 0], [4, 0]], [[3, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: 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[0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [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], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], 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1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;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;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0]], [[1, 1], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], 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[0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_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]]}, 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3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1]], [[1, 0], [1, 2], [1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}], &#34;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;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 2], [0, 2]]}], &#34;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;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;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;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: 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{&#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, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 4], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 3], [1, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], 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[0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#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], 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&#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], 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0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3]], [[1, 1], [1, 4]], [[2, 5]], [[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, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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&#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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;: 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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;: [[0, 0]]}], &#34;indices&#34;: [0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: 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[{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;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, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 1], [0, 3], [0, 4]], [[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;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 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, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#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], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 4], [0, 6], [2, 0], [2, 5]], [[1, 3]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0, 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, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#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], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#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;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#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], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3]], [[1, 0], [1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#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, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 1], [0, 2], [0, 3], [0, 4]], [[1, 0]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#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;: 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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;: [], &#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;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#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, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0, 0, 0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: true}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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, 1], [0, 2], [0, 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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;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, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5]]}, {&#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, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#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, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 2], [0, 3], [0, 5], [0, 7], [2, 0], [2, 1], [2, 6]], [[1, 4]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#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, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 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;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 4], [0, 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;: [[1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#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, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: 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[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, 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&#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [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;: [[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, 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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 3], [2, 0], [2, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 3], [2, 3], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 0], [2, 0], [2, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 0], [2, 3], [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, 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]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[2, 4], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 4], [2, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 4], [2, 0], [2, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;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;: [[1, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;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;: [[1, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#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;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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]]}, 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[[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 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;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 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0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;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], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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&#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: 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0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 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{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 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, 0], [2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 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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;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;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;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_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, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: 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4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;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, 0], [0, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 4], [2, 4], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 4], [2, 0], [2, 0], [2, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 4], [2, 0], [2, 4], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}], &#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;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#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], [2, 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, 0], [2, 0], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 2], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 1], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 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2], &#34;pos&#34;: [[1, 5], [1, 2], [1, 5]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#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, 5]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 5], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 5], [1, 0], [1, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 5], [1, 5], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 5], [1, 0], [1, 0], [1, 5]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 5], [1, 0], [1, 5], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [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;: [[1, 4], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#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, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 4], [1, 0], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 4], [1, 4], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 4], [1, 0], [1, 0], [1, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 4], [1, 0], [1, 4], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;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;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 2]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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, 1], &#34;pos&#34;: [[0, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 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, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [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, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 1]]}, {&#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], [0, 1], [1, 0], [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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 3], [1, 0], [1, 0], [1, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 0], [1, 3], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [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;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [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], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 1]]}, {&#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], [0, 1], [1, 0], [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, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 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], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 1], [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.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], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 3]]}]}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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&#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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;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;: [[1, 3]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;ReverseRule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0]]}, {&#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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 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{&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#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, 0], [0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [3, 0], [3, 0]]}, 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&#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#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, 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, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[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;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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, 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;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[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;: [[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;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[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, 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]]}, 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[0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], 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2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#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;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;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;: [[1, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 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{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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], [0, 4]]}, {&#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], [0, 4], [0, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#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], [0, 4]]}, {&#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], [0, 4], [0, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5]]}, {&#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, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], 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1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [1, 3], [1, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 3]]}, {&#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, 1], [1, 3], [1, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1]]}], &#34;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.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionInferralStrategy&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 3]]}]}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 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;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 0], [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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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, 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, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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&#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 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, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 4], [0, 0]]}, 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0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, &#34;idx&#34;: 0}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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, 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, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;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;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;: [[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, 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;: [[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], 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0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: 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&#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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], [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 2, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 3], [2, 3]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 2], [1, 2], [1, 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, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 0], [1, 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], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 2], [1, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 4], [2, 4]]}, {&#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], [2, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[1, 3], [1, 3], [2, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 2], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 3], [1, 3], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 2], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 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], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#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, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, 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0], [1, 0]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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;: [[0, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1], 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&#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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: 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[[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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;: [[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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [4, 0], [4, 0]]}, {&#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], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [1, 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;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 4], [1, 4], [1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [4, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 4, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 4, 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], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [0, 4, 1, 3, 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;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 4, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}, {&#34;patt&#34;: [4, 0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [4, 0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [1, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;workable&#34;: true}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 1], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [1, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 5], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 2], [2, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#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], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 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, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 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], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [3, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 4], [3, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [3, 0]]}, {&#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, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [3, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 1, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [3, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], 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[0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [0, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 6], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#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, 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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [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, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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], [0, 4], [0, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], &#34;indices&#34;: [0], &#34;direction&#34;: 0, &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;include_empty&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [0, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 5], [2, 5]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 5], [2, 5]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4]]}, {&#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], [0, 4], [0, 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;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}], [{&#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, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 6]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 4]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 5]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 5]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [0, 7]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 7], [2, 6]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 4], [1, 4]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 6], [2, 6]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 5]]}, {&#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, 3], [0, 5], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[2, 0], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 5], [0, 5], [0, 5], [0, 5]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 7]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 6]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 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;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;rule_class&#34;: &#34;OneByOneVerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;basis&#34;: [[0, 1, 3, 4, 2], [0, 1, 4, 3, 2], [0, 3, 1, 4, 2], [0, 3, 4, 1, 2], [0, 3, 4, 2, 1], [0, 4, 1, 3, 2], [0, 4, 3, 1, 2], [0, 4, 3, 2, 1], [4, 0, 1, 3, 2], [4, 0, 3, 1, 2], [4, 0, 3, 2, 1]], &#34;symmetry&#34;: false}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.strategy&#34;, &#34;strategy_class&#34;: &#34;EmptyStrategy&#34;}}]}<br /><br />