01324_01342_03124_03142_03214_03241_03412_03421_10324_10342_13024_13042_30124_30142_30214_30241_30412_30421_31024_31042<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 100, 412, 1668, 6688, 26700, 106436, 424144, 1690196, 6735740, 26844272, 106985980, 426388548, 1699359120, 6772748180, 26992593692, 107578189968, 428749678076, 1708769027556, 6810247798768, 27142038630164, 108173782065148, 431123368927792, 1718229276685180, 6847951330457732, 27292304970003024, 108772664209303956, 433510196086792924, 1727741905348439248, 6885863627747501052, 27443403296008754980, 109374862062650110896, 435910237596595807508, 1737307198912620827068, 6923985818811618227312, 27595338146938739145596, 109980393861435476042180, 438323566448426346716176, 1746925448786172231596436, 6962319065670957821015196, 27748114154434438267386128, 110589278064538695549915644, 440750256207281007783084132, 1756596948154552316886010736, 7000864536797321095968247572, 27901735975391260487436362620, 111201533231863631908511341232, 443190380843099810050738364284, 1766321991822774772091877317380, 7039623407127359740077122822608, 28056208292484241895502766673300, 111817178026071719592915823195740, 445644014735361400818242488400208, 1776100876228024689816361764051964, 7078596858102597956839362161957284, 28211535814313198171374535739129648, 112436231213146524674716310061374740, 448111232675331342282943344161162556, 1785933899448651387888245599673971952, 7117786077705371197184593619116048252, 28367723275546153952906613534079263812, 113058711662965683034344082962336482192, 450592109868341906961350869151801976212, 1795821361213254667225071342839926843420, 7157192260495038803597099030108854873488, 28524775437063665651404286598958187823612, 113684638349876090995441235588255458173668, 453086721936084476543399978023316200001264, 1805763562909821090651372169312605375942420, 7196816607644396368784366726051616825259772, 28682697086103941818507509321600058466452272, 114314030353272278225345922878352883552476028, 455595144918914629832392028594866615218765188, 1815760807594910841980171916951570638644658512, 7236660326976289687630378882722529727407309204, 28841493036408766955510857930835047895327099356, 114946906858177982707619613269757031252290377168, 458117455278169992382836958469923329602201912316, 1825813400002895446337136473627745799360505551908, 7276724633000431414928133871602392580877657455280, 29001168128370233200303614208558033380812124906772, 115583287155830945486564009132745388132491815336124, 460653729898500918443450703279793986938942583194992, 1835921646555246633253744637503099935803095480120188, 7317010746950421551088957274141503170317546953123524, 29161727229178284364611595316160666165491967662414608, 116223190644270943009544960212414708890004471276806548, 463204046090214076249268161166256025760897706097204124, 1846085855369876625671974497364428323121078935858770448, 7357519896820972884282228043464922593614547070587298300, 29323175232969076818955084130291996073785027538358863204, 116866636828931074991428884955509553615781315388491317872, 465768481591629008099651110206367213149495182630425943828, 1856306336270530139569653116730101076226497897034878569084, 7398253317405342523705319717339714199013873211319521672112, 29485517060974161747634976490783905596064576273332001736572, 117513645323232325824671297408360804206159357819119330025476<br /><br />


Generating function in Maple syntax:<br />
-(x-1)*(x+1)*(5*x^2-5*x+1)/(2*x^5-12*x^4+3*x^3+8*x^2-6*x+1)<br /><br />



Generating function in latex syntax:<br />
-\frac{\left(x -1\right) \left(x +1\right) \left(5 x^{2}-5 x +1\right)}{2 x^{5}-12 x^{4}+3 x^{3}+8 x^{2}-6 x +1}<br /><br />



Generating function in sympy syntax:<br />
(1 - x)*(x + 1)*(5*x**2 - 5*x + 1)/(2*x**5 - 12*x**4 + 3*x**3 + 8*x**2 - 6*x + 1)<br /><br />



Implicit equation for the generating function in Maple syntax:<br />
(2*x^5-12*x^4+3*x^3+8*x^2-6*x+1)*F(x)+(x-1)*(x+1)*(5*x^2-5*x+1) = 0<br /><br />



Implicit equation for the generating function in latex syntax:<br />
\left(2 x^{5}-12 x^{4}+3 x^{3}+8 x^{2}-6 x +1\right) F \! \left(x \right)+\left(x -1\right) \left(x +1\right) \left(5 x^{2}-5 x +1\right) = 0<br /><br />



Explicit closed form in Maple syntax:<br />
-74087345431/834841141350*((((RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-37915/66026)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-37915/66026*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+15593/66026)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+(-37915/66026*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+15593/66026)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+15593/66026*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-45939/132052)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+((-37915/66026*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+15593/66026)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+15593/66026*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-45939/132052)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+(15593/66026*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-45939/132052)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-45939/132052*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+299549/132052)*((((-942067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-1)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(-1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-53987/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+998276/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+62178/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^3+((-942067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-1)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^3+(2057232/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+10631288/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(8186395/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+3701681/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)-4932630/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-4246156/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^2+((-1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-53987/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^3+(8186395/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+3701681/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(4573281/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+12858075/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)-6410039/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-10894990/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+(998276/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+62178/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^3+(-4932630/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-4246156/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(-6410039/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-10894990/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+1681010/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+261595/204017)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^(-n+1)+(((-998276/2244187+942067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2+1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(263383/4488374+1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2-1313775/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+263383/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-998276/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2+1101223/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^2+((263383/4488374+1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2-1313775/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(2140309/408034*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-8194965/2244187-1313775/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+263383/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2-8194965/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-63043/408034)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+(263383/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-998276/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2+1101223/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(263383/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2-8194965/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-63043/408034)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)-63043/408034*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+1101223/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^2-4777990/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)^(-n+1)+(((1+942067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+1916055/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^4+((-11549067/2244187-3408215/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-11549067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-7577285/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^3+((-16260099/4488374-24104043/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-16260099/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-41280375/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^2+((237961/408034+12051423/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+237961/408034*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+11948077/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+(-1565297/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+95471/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+95471/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-266455/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^(-n+1)+(((-942067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-1)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(-1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-53987/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+998276/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+62178/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^2+((-1350983/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-53987/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(-544311/408034+1313775/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)-263383/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+3090777/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+(998276/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+62178/132011)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^2+(-263383/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+3090777/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)-1101223/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-2551845/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)^(-n+2)+(((1+942067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+1916055/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^3+((-11549067/2244187-3408215/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-11549067/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-7577285/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^2+((-13390783/4488374-15059015/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-13390783/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-35445451/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+(9601877/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+11583089/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+11583089/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 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3)+11757135/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^2+((844848/204017+692304/204017*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+844848/204017*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+16184046/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)+(-1013543/408034*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-12724785/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)-12724785/4488374*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)-22783285/4488374)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)^(-n)+(((1629108/2244187-123764/204017*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3))*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+1629108/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+507866/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 2)+(1629108/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+507866/2244187)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 4)+507866/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 3)+120320/204017)*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 1)^(-n)-4476180/2244187*RootOf(2*_Z^5-12*_Z^4+3*_Z^3+8*_Z^2-6*_Z+1,index = 5)^(-n))<br /><br />



Explicit closed form in latex syntax:<br />
-\frac{74087345431 \left(\left(\left(\left(\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)-\frac{37915}{66026}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{37915 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{66026}+\frac{15593}{66026}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\frac{37915 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{66026}+\frac{15593}{66026}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{15593 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{66026}-\frac{45939}{132052}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\left(-\frac{37915 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{66026}+\frac{15593}{66026}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{15593 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{66026}-\frac{45939}{132052}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{15593 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{66026}-\frac{45939}{132052}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{45939 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{132052}+\frac{299549}{132052}\right) \left(\left(\left(\left(-\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{53987}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{62178}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(-\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(\frac{2057232 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{10631288}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{8186395 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{3701681}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{4932630 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{4246156}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{53987}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(\frac{8186395 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{3701681}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{4573281 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{12858075}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{6410039 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{10894990}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{62178}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(-\frac{4932630 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{4246156}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{6410039 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{10894990}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{1681010 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{261595}{204017}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +1}+\left(\left(\left(-\frac{998276}{2244187}+\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{2244187}+\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{263383}{4488374}+\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{2244187}-\frac{1313775 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{263383 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{2244187}+\frac{1101223}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(\frac{263383}{4488374}+\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{2244187}-\frac{1313775 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{2140309 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{408034}-\frac{8194965}{2244187}-\frac{1313775 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{263383 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}-\frac{8194965 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{63043}{408034}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{263383 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{2244187}+\frac{1101223}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{263383 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}-\frac{8194965 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{63043}{408034}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{63043 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{408034}+\frac{1101223 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}-\frac{4777990}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)^{-n +1}+\left(\left(\left(1+\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)+\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{4}+\left(\left(-\frac{11549067}{2244187}-\frac{3408215 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{11549067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{7577285}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(-\frac{16260099}{4488374}-\frac{24104043 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{16260099 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{41280375}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(\frac{237961}{408034}+\frac{12051423 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{237961 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{408034}+\frac{11948077}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{1565297 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{95471}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{95471 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{266455}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +1}+\left(\left(\left(-\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-1\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{53987}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{62178}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}-\frac{53987}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{544311}{408034}+\frac{1313775 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{263383 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}+\frac{3090777}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{2244187}+\frac{62178}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{263383 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}+\frac{3090777}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{1101223 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}-\frac{2551845}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{-n +2}+\left(\left(\left(1+\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)+\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(-\frac{11549067}{2244187}-\frac{3408215 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{11549067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{7577285}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{13390783}{4488374}-\frac{15059015 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{13390783 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{35445451}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{9601877 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}+\frac{11583089}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{11583089 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}+\frac{22600155}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +2}+\left(\left(\left(1+\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)+\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(\frac{53987}{132011}+\frac{1350983 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{132011}+\frac{2862019}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{998276 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{62178}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{62178 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{132011}-\frac{2096000}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{-n +3}+\left(\left(\left(-\frac{10542045}{2244187}-\frac{1108837 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{10542045 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{7568749}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\frac{10542045 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{7568749}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{7568749 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{15942635}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +1}+\left(\left(\left(\frac{1434658}{2244187}+\frac{4522514 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{1434658 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{2917462}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{1434658 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{2917462}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{2917462 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{5421510}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +2}+\left(\left(\left(\frac{12466846}{2244187}+\frac{4759198 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{12466846 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{10439304}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{12466846 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{10439304}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{10439304 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{21418270}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +3}+\left(\left(\left(-1-\frac{942067 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)-\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(-\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)-\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{1916055 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{3919045}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{-n +4}+\left(\left(\left(-\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}-\frac{2862019}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{62178 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}+\frac{2096000}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{3}-\left(\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-6\right) \left(\left(\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}+\frac{2862019}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{62178 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}-\frac{2096000}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}-\frac{2862019}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(\frac{35100 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{12001}+\frac{19268114}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{206961 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}-\frac{15151401}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{7977895 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}-\frac{6436785}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(\frac{62178 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}+\frac{2096000}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{3}+\left(-\frac{373068 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{132011}-\frac{12576000}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{7977895 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}-\frac{6436785}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\frac{2614283 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)}{4488374}+\frac{1325147}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{-n}+\left(\left(\left(-\frac{62178}{132011}+\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}+\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{132011}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{3090777}{4488374}+\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{132011}+\frac{544311 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{408034}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{3090777 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{62178 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{132011}+\frac{2551845}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(-\frac{3090777}{4488374}+\frac{53987 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{132011}+\frac{544311 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{408034}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{42313041 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}+\frac{6559306}{2244187}+\frac{544311 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{408034}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{3090777 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}+\frac{6559306 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{12696787}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{3090777 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{62178 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{132011}+\frac{2551845}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{2}+\left(-\frac{3090777 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}+\frac{6559306 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{12696787}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)-\frac{12696787 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}+\frac{2551845 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)^{2}}{4488374}-\frac{2903946}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)^{-n}+\left(\left(\left(\mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)+\frac{1916055}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{1916055 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{3919045}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{4}+\left(\left(-\frac{11496330}{2244187}-6 \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{11496330 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}-\frac{23514270}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{3}+\left(\left(\frac{5748165}{4488374}+\frac{3 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{5748165 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}+\frac{11757135}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{2}+\left(\left(\frac{844848}{204017}+\frac{692304 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{204017}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{844848 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{204017}+\frac{16184046}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)+\left(-\frac{1013543 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{408034}-\frac{12724785}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)-\frac{12724785 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{4488374}-\frac{22783285}{4488374}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)^{-n}+\left(\left(\left(\frac{1629108}{2244187}-\frac{123764 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{204017}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{1629108 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{507866}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =2\right)+\left(\frac{1629108 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{507866}{2244187}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =4\right)+\frac{507866 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =3\right)}{2244187}+\frac{120320}{204017}\right) \mathit{RootOf}\! \left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =1\right)^{-n}-\frac{4476180 \mathit{RootOf}\left(2 \textit{\_Z}^{5}-12 \textit{\_Z}^{4}+3 \textit{\_Z}^{3}+8 \textit{\_Z}^{2}-6 \textit{\_Z} +1, \mathit{index} =5\right)^{-n}}{2244187}\right)}{834841141350}<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(n+5) = -2*a(n)+12*a(n+1)-3*a(n+2)-8*a(n+3)+6*a(n+4), n >= 5<br /><br />

    Recurrence in latex format:<br />
    
      a(0) = 1<br />
    
      a(1) = 1<br />
    
      a(2) = 2<br />
    
      a(3) = 6<br />
    
      a(4) = 24<br />
    
    a{\left(n + 5 \right)} = - 2 a{\left(n \right)} + 12 a{\left(n + 1 \right)} - 3 a{\left(n + 2 \right)} - 8 a{\left(n + 3 \right)} + 6 a{\left(n + 4 \right)}, \quad n \geq 5<br /><br />
  



  Specification 1<br />
  Strategy pack name: regular_insertion_encoding_left<br />
  Tree: http://permpal.com/tree/25033/<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[15,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[22,x]+F[6,x]<br />
  
    F[6,x] = F[7,x]<br />
  
    F[7,x] = F[15,x]*F[8,x]<br />
  
    F[8,x] = F[10,x]+F[9,x]<br />
  
    F[9,x] = F[1,x]+F[6,x]<br />
  
    F[10,x] = F[11,x]+F[6,x]<br />
  
    F[11,x] = F[12,x]+F[13,x]+F[16,x]<br />
  
    F[12,x] = 0<br />
  
    F[13,x] = F[14,x]*F[15,x]<br />
  
    F[14,x] = F[6,x]<br />
  
    F[15,x] = x<br />
  
    F[16,x] = F[15,x]*F[17,x]<br />
  
    F[17,x] = F[18,x]+F[19,x]<br />
  
    F[18,x] = F[15,x]<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[12,x]+F[16,x]+F[21,x]<br />
  
    F[21,x] = F[15,x]*F[6,x]<br />
  
    F[22,x] = F[12,x]+F[23,x]+F[64,x]<br />
  
    F[23,x] = F[15,x]*F[24,x]<br />
  
    F[24,x] = F[25,x]+F[26,x]<br />
  
    F[25,x] = F[2,x]+F[22,x]<br />
  
    F[26,x] = F[27,x]+F[55,x]<br />
  
    F[27,x] = F[12,x]+F[28,x]+F[52,x]<br />
  
    F[28,x] = F[15,x]*F[29,x]<br />
  
    F[29,x] = F[30,x]+F[31,x]<br />
  
    F[30,x] = F[2,x]+F[27,x]<br />
  
    F[31,x] = F[27,x]+F[32,x]<br />
  
    F[32,x] = F[12,x]+F[33,x]+F[35,x]+F[49,x]<br />
  
    F[33,x] = F[15,x]*F[34,x]<br />
  
    F[34,x] = F[27,x]<br />
  
    F[35,x] = F[15,x]*F[36,x]<br />
  
    F[36,x] = F[37,x]+F[43,x]<br />
  
    F[37,x] = F[38,x]<br />
  
    F[38,x] = F[12,x]+F[39,x]+F[40,x]<br />
  
    F[39,x] = F[15,x]*F[2,x]<br />
  
    F[40,x] = F[15,x]*F[41,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[15,x]+F[38,x]<br />
  
    F[43,x] = F[44,x]<br />
  
    F[44,x] = F[12,x]+F[35,x]+F[45,x]+F[46,x]<br />
  
    F[45,x] = F[15,x]*F[27,x]<br />
  
    F[46,x] = F[15,x]*F[47,x]<br />
  
    F[47,x] = F[48,x]<br />
  
    F[48,x] = F[20,x]+F[44,x]<br />
  
    F[49,x] = F[15,x]*F[50,x]<br />
  
    F[50,x] = F[51,x]<br />
  
    F[51,x] = F[11,x]+F[32,x]<br />
  
    F[52,x] = F[15,x]*F[53,x]<br />
  
    F[53,x] = F[54,x]<br />
  
    F[54,x] = F[27,x]+F[6,x]<br />
  
    F[55,x] = F[12,x]+F[56,x]+F[58,x]+F[62,x]<br />
  
    F[56,x] = F[15,x]*F[57,x]<br />
  
    F[57,x] = F[22,x]<br />
  
    F[58,x] = F[15,x]*F[59,x]<br />
  
    F[59,x] = F[60,x]+F[61,x]<br />
  
    F[60,x] = F[38,x]<br />
  
    F[61,x] = F[44,x]<br />
  
    F[62,x] = F[15,x]*F[63,x]<br />
  
    F[63,x] = F[51,x]<br />
  
    F[64,x] = F[15,x]*F[65,x]<br />
  
    F[65,x] = F[54,x]+F[66,x]<br />
  
    F[66,x] = F[11,x]+F[55,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_{15}\! \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_{22}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{6}\! \left(x \right) = F_{7}\! \left(x \right)<br />
  
    F_{7}\! \left(x \right) = F_{15}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{10}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{1}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{11}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)+F_{13}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = 0<br />
  
    F_{13}\! \left(x \right) = F_{14}\! \left(x \right) F_{15}\! \left(x \right)<br />
  
    F_{14}\! \left(x \right) = F_{6}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = x<br />
  
    F_{16}\! \left(x \right) = F_{15}\! \left(x \right) F_{17}\! \left(x \right)<br />
  
    F_{17}\! \left(x \right) = F_{18}\! \left(x \right)+F_{19}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = F_{15}\! \left(x \right)<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{12}\! \left(x \right)+F_{16}\! \left(x \right)+F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = F_{15}\! \left(x \right) F_{6}\! \left(x \right)<br />
  
    F_{22}\! \left(x \right) = F_{12}\! \left(x \right)+F_{23}\! \left(x \right)+F_{64}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{15}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = F_{25}\! \left(x \right)+F_{26}\! \left(x \right)<br />
  
    F_{25}\! \left(x \right) = F_{2}\! \left(x \right)+F_{22}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{55}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{12}\! \left(x \right)+F_{28}\! \left(x \right)+F_{52}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{15}\! \left(x \right) F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{30}\! \left(x \right)+F_{31}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = F_{2}\! \left(x \right)+F_{27}\! \left(x \right)<br />
  
    F_{31}\! \left(x \right) = F_{27}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = F_{12}\! \left(x \right)+F_{33}\! \left(x \right)+F_{35}\! \left(x \right)+F_{49}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = F_{15}\! \left(x \right) F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = F_{27}\! \left(x \right)<br />
  
    F_{35}\! \left(x \right) = F_{15}\! \left(x \right) F_{36}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{43}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = F_{12}\! \left(x \right)+F_{39}\! \left(x \right)+F_{40}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = F_{15}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{40}\! \left(x \right) = F_{15}\! \left(x \right) F_{41}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{15}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{12}\! \left(x \right)+F_{35}\! \left(x \right)+F_{45}\! \left(x \right)+F_{46}\! \left(x \right)<br />
  
    F_{45}\! \left(x \right) = F_{15}\! \left(x \right) F_{27}\! \left(x \right)<br />
  
    F_{46}\! \left(x \right) = F_{15}\! \left(x \right) F_{47}\! \left(x \right)<br />
  
    F_{47}\! \left(x \right) = F_{48}\! \left(x \right)<br />
  
    F_{48}\! \left(x \right) = F_{20}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{49}\! \left(x \right) = F_{15}\! \left(x \right) F_{50}\! \left(x \right)<br />
  
    F_{50}\! \left(x \right) = F_{51}\! \left(x \right)<br />
  
    F_{51}\! \left(x \right) = F_{11}\! \left(x \right)+F_{32}\! \left(x \right)<br />
  
    F_{52}\! \left(x \right) = F_{15}\! \left(x \right) F_{53}\! \left(x \right)<br />
  
    F_{53}\! \left(x \right) = F_{54}\! \left(x \right)<br />
  
    F_{54}\! \left(x \right) = F_{27}\! \left(x \right)+F_{6}\! \left(x \right)<br />
  
    F_{55}\! \left(x \right) = F_{12}\! \left(x \right)+F_{56}\! \left(x \right)+F_{58}\! \left(x \right)+F_{62}\! \left(x \right)<br />
  
    F_{56}\! \left(x \right) = F_{15}\! \left(x \right) F_{57}\! \left(x \right)<br />
  
    F_{57}\! \left(x \right) = F_{22}\! \left(x \right)<br />
  
    F_{58}\! \left(x \right) = F_{15}\! \left(x \right) F_{59}\! \left(x \right)<br />
  
    F_{59}\! \left(x \right) = F_{60}\! \left(x \right)+F_{61}\! \left(x \right)<br />
  
    F_{60}\! \left(x \right) = F_{38}\! \left(x \right)<br />
  
    F_{61}\! \left(x \right) = F_{44}\! \left(x \right)<br />
  
    F_{62}\! \left(x \right) = F_{15}\! \left(x \right) F_{63}\! \left(x \right)<br />
  
    F_{63}\! \left(x \right) = F_{51}\! \left(x \right)<br />
  
    F_{64}\! \left(x \right) = F_{15}\! \left(x \right) F_{65}\! \left(x \right)<br />
  
    F_{65}\! \left(x \right) = F_{54}\! \left(x \right)+F_{66}\! \left(x \right)<br />
  
    F_{66}\! \left(x \right) = F_{11}\! \left(x \right)+F_{55}\! \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_15(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_22(x) + F_6(x))<br />
  
    Eq(F_6(x), F_7(x))<br />
  
    Eq(F_7(x), F_15(x)*F_8(x))<br />
  
    Eq(F_8(x), F_10(x) + F_9(x))<br />
  
    Eq(F_9(x), F_1(x) + F_6(x))<br />
  
    Eq(F_10(x), F_11(x) + F_6(x))<br />
  
    Eq(F_11(x), F_12(x) + F_13(x) + F_16(x))<br />
  
    Eq(F_12(x), 0)<br />
  
    Eq(F_13(x), F_14(x)*F_15(x))<br />
  
    Eq(F_14(x), F_6(x))<br />
  
    Eq(F_15(x), x)<br />
  
    Eq(F_16(x), F_15(x)*F_17(x))<br />
  
    Eq(F_17(x), F_18(x) + F_19(x))<br />
  
    Eq(F_18(x), F_15(x))<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_12(x) + F_16(x) + F_21(x))<br />
  
    Eq(F_21(x), F_15(x)*F_6(x))<br />
  
    Eq(F_22(x), F_12(x) + F_23(x) + F_64(x))<br />
  
    Eq(F_23(x), F_15(x)*F_24(x))<br />
  
    Eq(F_24(x), F_25(x) + F_26(x))<br />
  
    Eq(F_25(x), F_2(x) + F_22(x))<br />
  
    Eq(F_26(x), F_27(x) + F_55(x))<br />
  
    Eq(F_27(x), F_12(x) + F_28(x) + F_52(x))<br />
  
    Eq(F_28(x), F_15(x)*F_29(x))<br />
  
    Eq(F_29(x), F_30(x) + F_31(x))<br />
  
    Eq(F_30(x), F_2(x) + F_27(x))<br />
  
    Eq(F_31(x), F_27(x) + F_32(x))<br />
  
    Eq(F_32(x), F_12(x) + F_33(x) + F_35(x) + F_49(x))<br />
  
    Eq(F_33(x), F_15(x)*F_34(x))<br />
  
    Eq(F_34(x), F_27(x))<br />
  
    Eq(F_35(x), F_15(x)*F_36(x))<br />
  
    Eq(F_36(x), F_37(x) + F_43(x))<br />
  
    Eq(F_37(x), F_38(x))<br />
  
    Eq(F_38(x), F_12(x) + F_39(x) + F_40(x))<br />
  
    Eq(F_39(x), F_15(x)*F_2(x))<br />
  
    Eq(F_40(x), F_15(x)*F_41(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_15(x) + F_38(x))<br />
  
    Eq(F_43(x), F_44(x))<br />
  
    Eq(F_44(x), F_12(x) + F_35(x) + F_45(x) + F_46(x))<br />
  
    Eq(F_45(x), F_15(x)*F_27(x))<br />
  
    Eq(F_46(x), F_15(x)*F_47(x))<br />
  
    Eq(F_47(x), F_48(x))<br />
  
    Eq(F_48(x), F_20(x) + F_44(x))<br />
  
    Eq(F_49(x), F_15(x)*F_50(x))<br />
  
    Eq(F_50(x), F_51(x))<br />
  
    Eq(F_51(x), F_11(x) + F_32(x))<br />
  
    Eq(F_52(x), F_15(x)*F_53(x))<br />
  
    Eq(F_53(x), F_54(x))<br />
  
    Eq(F_54(x), F_27(x) + F_6(x))<br />
  
    Eq(F_55(x), F_12(x) + F_56(x) + F_58(x) + F_62(x))<br />
  
    Eq(F_56(x), F_15(x)*F_57(x))<br />
  
    Eq(F_57(x), F_22(x))<br />
  
    Eq(F_58(x), F_15(x)*F_59(x))<br />
  
    Eq(F_59(x), F_60(x) + F_61(x))<br />
  
    Eq(F_60(x), F_38(x))<br />
  
    Eq(F_61(x), F_44(x))<br />
  
    Eq(F_62(x), F_15(x)*F_63(x))<br />
  
    Eq(F_63(x), F_51(x))<br />
  
    Eq(F_64(x), F_15(x)*F_65(x))<br />
  
    Eq(F_65(x), F_54(x) + F_66(x))<br />
  
    Eq(F_66(x), F_11(x) + F_55(x))<br />
  
  Pack JSON:<br />{&#34;name&#34;: &#34;regular_insertion_encoding_left&#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;CellInsertionFactory&#34;, &#34;ignore_parent&#34;: true, &#34;maxreqlen&#34;: 1, &#34;extra_basis&#34;: [], &#34;one_cell_only&#34;: true}], &#34;inferral_strats&#34;: [], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}], &#34;expansion_strats&#34;: [[{&#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], &#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, 2, 4], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;Rule&#34;, &#34;comb_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, 4], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 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[[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;, 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{&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, 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{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;workable&#34;: true, &#34;partition&#34;: [[[0, 0], [0, 2], [0, 3]], [[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, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: 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{&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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;: 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&#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [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, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], 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1], &#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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 1], [0, 0], [0, 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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 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, 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, 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, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#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, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 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, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#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;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#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;: [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;: [1, 0, 2], &#34;pos&#34;: 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[[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#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;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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, 1]]]}}, {&#34;class_module&#34;: 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[[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, 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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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, 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{&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 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[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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], &#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;: [[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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 0], [0, 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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], 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3]]}, {&#34;patt&#34;: [0, 3, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], 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2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[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, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], 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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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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[3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 4]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#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, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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, 1], [0, 2], [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, 0], [0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 0], [0, 1], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 2], [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, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [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, 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, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], 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{&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [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, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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, 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;: [[1, 4]]}, {&#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;: [0, 1], &#34;pos&#34;: [[1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#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, 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{&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [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, 3, 1, 2, 4], &#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], 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4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], 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1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: 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&#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#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, 1]]}]}}, 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{&#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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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{&#34;patt&#34;: [0, 3, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 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4], [0, 4]]}], &#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, 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;: 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3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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;: 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;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, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [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, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 2], [0, 3]]}, {&#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, 1], [0, 0], [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, 1, 0], &#34;pos&#34;: [[0, 2], [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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#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, 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;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 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[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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#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, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [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, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 1], [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, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 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, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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;: [1, 0], &#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, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[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;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 4], [0, 4]]}, {&#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, 4], [0, 4]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 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;: [1, 0, 2], 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1]]}, {&#34;patt&#34;: [0, 3, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [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, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 4]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: 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1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 0], [0, 4]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 4], [0, 1], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 1, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [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, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 2], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [0, 3, 1, 2], &#34;pos&#34;: [[0, 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;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 2], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 2], [0, 4], [0, 2], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 4]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 4], [0, 2], [0, 4], [0, 4]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 4], [0, 2], [0, 2], [0, 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[[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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 4], [0, 4], [0, 4], [0, 4], [0, 4]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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, 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[[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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[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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}], [{&#34;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, 2], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 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;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[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, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 1]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 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[[0, 1]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [0, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;comb_class&#34;: {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 1], [0, 0], [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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]], &#34;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_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;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 2], [1, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 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;: [1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 3]]}, {&#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, 1], [0, 0], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 3], [0, 1], [0, 3]]}, {&#34;patt&#34;: [2, 1, 0], &#34;pos&#34;: [[0, 3], [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, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;, &#34;ignore_parent&#34;: false, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[1, 0], [1, 0]]}, {&#34;patt&#34;: [0, 1, 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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}]], &#34;assumptions&#34;: []}, &#34;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;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[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, 1, 0, 2], &#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;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]], &#34;assumptions&#34;: []}], &#34;strategy&#34;: {&#34;class_module&#34;: &#34;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]]]}}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_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, 3, 2, 4], &#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], [0, 0]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;: [], &#34;pos&#34;: []}], &#34;requirements&#34;: [], &#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[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, 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, 2, 1, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [0, 2, 1, 3], &#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], [0, 0]]}, {&#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, 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;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 0], [0, 0], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[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, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0]]}, 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[0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 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;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;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], 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&#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;assumptions&#34;: []}, &#34;children&#34;: [{&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: 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{&#34;patt&#34;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#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;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 0], [0, 2]]}, {&#34;patt&#34;: [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, 1], [0, 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, 2], [0, 2]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 2], [0, 1]]}, {&#34;patt&#34;: [0, 2, 3, 1], &#34;pos&#34;: [[0, 1], [0, 2], [0, 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, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 2, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 1], [0, 2], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 2], [0, 1], [0, 2], [0, 2]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 2], [0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#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, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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;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;: 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{&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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], [0, 2]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[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;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]]}, 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&#34;assumptions&#34;: []}, {&#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 1], [0, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 2], [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, 1], [0, 1], [0, 2]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 0], 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{&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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.requirement_insertion&#34;, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;, &#34;ignore_parent&#34;: true, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]}}}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;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;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 1], [0, 0]]}, 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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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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[[0, 3], [0, 2], [0, 2], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1, 3, 2, 4], &#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, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 1, 2, 4], &#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, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [0, 3, 4, 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;: [1, 0, 3, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 0, 3, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [1, 3, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 1, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 2, 4, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2, 4], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}, {&#34;patt&#34;: [3, 1, 0, 4, 2], &#34;pos&#34;: [[0, 3], [0, 3], [0, 3], [0, 3], [0, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 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, 2]]}]}}}]}, {&#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;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 />