12403_20413_21403_30412_30421_31402<br /><br />

Counting sequence:<br />
1, 1, 2, 6, 24, 114, 596, 3298, 18944, 111778, 673220, 4121434, 25570144, 160415810, 1015899124, 6485782866, 41698225920, 269735407170, 1754332330244, 11465139694762, 75252567550880, 495851249128066, 3278760949419764, 21749946173057026, 144702650959854464, 965293531956318946, 6455267260210061252, 43267215303773301498, 290616713169640562400, 1955842939532896306242, 13186837427427729377140, 89061083165066292105266, 602460214294988929154560, 4081489885631942814133378, 27689799482394888480557060, 188103058780867095947509066, 1279422981542485152102130464, 8712537855174324458179510914, 59396365577313030020250046836, 405353865950223976265306597602, 2769137749970459872146687722624, 18935155951953525435331574989858, 129594679893784665321234844581316, 887729656841841390920561791180442, 6086002979537358565684736717352544, 41756612410330305422127709857802818, 286711352214032906274237870325256436, 1970048432205973994288160175106797842, 13545905820241381771524261324738157824, 93202145873849418994659446959437136578, 641680464123440535050565034146461781252, 4420544858704239651499333681057246054890, 30470988366870261681547342633881963697824, 210155763639575882582069602651517618518146, 1450210057895197163032562016833567785986548, 10012595969233063584443159124841622791243714, 69164054041360184493311740031171751476090240, 477996150950420152545811660237664391216173410, 3304998074771315154176041052211335695244378564, 22861983129995642615032150970590027836967770682, 158214340405283153118150996822815148710629757408, 1095369778433246271670572284476746508498351106626, 7586695356639126880179504880949533336407724621940, 52567318456841332350484923142132833155237810605042, 364371890007673543916695083008163914540654550367232, 2526588997930550584777966959273964470088093995907330, 17525890645272216710232261423694119191102435338872836, 121612060690424435218986105382568143889290018558503562, 844150248601158882028807422709158193643492993488074272, 5861450650905907547099701052882418666619391208175475842, 40712579030139625963940907187042108925432010157799209076, 282869628586154616847705155417553206381969938975974177954, 1965959007651756309830473984116295321473615447920725384832, 13667510411326515692512332241949828562677612548227184050850, 95044659585013244999971198098541117464514670007995364690884, 661128760308019381243461580025082735713723578746345155556826, 4600035800990808186317109315087861482583095780348239911713120, 32014751587183300184578494528012099548229690338568671978220610, 222869108354978009763247568402483063191367725363142777884161524, 1551878062812050733622625014240607778695164600280950772242634962, 10808627846524961754331066942684190544326962471113343162139200256, 75298471281955851424758655208161425064537427996000096297671743298, 524688869454857198133822579085506986889074654064256060124671408388, 3656917846055062044689328214088332785752779660365905788114570458922, 25493171537722910926338701972263260235716852228178500001173445357984, 177756536508382444752771748482544965857274420706406776311219987928706, 1239704430000057548684482645244234360766650962541406926628865376296180, 8647677393434997789997536636677901635799140340473665478866191277129602, 60334750737129294323085370021958479361979065211098899832021304722886528, 421037051523473386207222567924353841328367537582103725176856231230152674, 2938704765869125432543044244779551068683689276323819076930040785436867524, 20515051426301301148178774307974728261127950339595268723247382164624869754, 143241380067428793787482950024624829439280321349658364472819751479898051808, 1000326785203634791687643428076696635852909470746137731254994528907855484994, 6987006539187477328337598265028354790854126093722999830097517117460814270836, 48810655644086877788096715178734170897529874234545872967135272914283892559794, 341044313394054553433606768686920889837230452937349789668286303226540844874240, 2383296919602969628063478020065893651164536164957139168524004975831159156385154, 16657706052690300696952710271736931882862230307772599470856055957957510210887684, 116444912732089937096679992313352173035707782299420628109164473914508248858986442, 814128112348200011756490585504765286479707604273092790802853659252653429281601824<br /><br />








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



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







  
    Recurrence in maple format:<br />
    
      a(0) = 1<br />
    
      a(1) = 1<br />
    
      a(2) = 2<br />
    
      a(3) = 6<br />
    
      a(4) = 24<br />
    
    a(n+5) = 81*n*(2*n+1)/(n+5)/(n+4)*a(n)-9/2*(72*n^2+153*n+80)/(n+5)/(n+4)*a(n+1)+3/2*(n+2)*(167*n+300)/(n+5)/(n+4)*a(n+2)-1/2*(185*n^2+1021*n+1400)/(n+5)/(n+4)*a(n+3)+1/2*(32*n+105)/(n+5)*a(n+4), n >= 5<br /><br />

    Recurrence in latex format:<br />
    
      a \! \left(0\right) = 1<br />
    
      a \! \left(1\right) = 1<br />
    
      a \! \left(2\right) = 2<br />
    
      a \! \left(3\right) = 6<br />
    
      a \! \left(4\right) = 24<br />
    
    a \! \left(n +5\right) = \frac{81 n \left(2 n +1\right) a \! \left(n \right)}{\left(n +5\right) \left(n +4\right)}-\frac{9 \left(72 n^{2}+153 n +80\right) a \! \left(n +1\right)}{2 \left(n +5\right) \left(n +4\right)}+\frac{3 \left(n +2\right) \left(167 n +300\right) a \! \left(n +2\right)}{2 \left(n +5\right) \left(n +4\right)}-\frac{\left(185 n^{2}+1021 n +1400\right) a \! \left(n +3\right)}{2 \left(n +5\right) \left(n +4\right)}+\frac{\left(32 n +105\right) a \! \left(n +4\right)}{2 n +10}, \quad n \geq 5<br /><br />
  



  Specification 1<br />
  Strategy pack name: point_placements_tracked_fusion<br />
  Tree: http://permpal.com/tree/24114/<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[18,x]*F[4,x]<br />
  
    F[4,x] = F[0,x]+F[5,x]<br />
  
    F[5,x] = F[2,x]+F[6,x]<br />
  
    F[6,x] = F[7,x]<br />
  
    F[7,x] = F[18,x]*F[8,x]<br />
  
    F[8,x] = F[19,x]+F[9,x]<br />
  
    F[9,x] = F[10,x]*F[2,x]<br />
  
    F[10,x] = F[0,x]+F[11,x]<br />
  
    F[11,x] = F[12,x]<br />
  
    F[12,x] = F[13,x]*F[18,x]<br />
  
    F[13,x] = 1/F[18,x]*F[14,x]<br />
  
    F[14,x] = F[15,x]<br />
  
    F[15,x] = -F[0,x]+F[16,x]<br />
  
    F[16,x] = 1/F[18,x]*F[17,x]<br />
  
    F[17,x] = F[2,x]<br />
  
    F[18,x] = x<br />
  
    F[19,x] = F[20,x]<br />
  
    F[20,x] = F[0,x]^2*F[18,x]*F[21,x]<br />
  
    F[21,x] = 1/F[0,x]/F[18,x]*F[22,x]<br />
  
    F[22,x] = F[23,x]<br />
  
    F[23,x] = F[0,x]*F[18,x]*F[24,x]<br />
  
    F[24,x] = 1/F[18,x]*F[25,x]<br />
  
    F[25,x] = F[26,x]<br />
  
    F[26,x] = F[27,x]+F[28,x]<br />
  
    F[27,x] = F[10,x]*F[2,x]<br />
  
    F[28,x] = F[29,x]<br />
  
    F[29,x] = F[18,x]*F[30,x]*F[43,x]<br />
  
    F[30,x] = 1/F[0,x]/F[18,x]*F[31,x]<br />
  
    F[31,x] = F[32,x]<br />
  
    F[32,x] = -F[33,x]+F[13,x]<br />
  
    F[33,x] = -F[36,x]+F[34,x]<br />
  
    F[34,x] = 1/F[18,x]*F[35,x]<br />
  
    F[35,x] = F[11,x]<br />
  
    F[36,x] = F[37,x]+F[41,x]<br />
  
    F[37,x] = -F[10,x]+F[38,x]<br />
  
    F[38,x] = -F[26,x]+F[39,x]<br />
  
    F[39,x] = 1/F[18,x]*F[40,x]<br />
  
    F[40,x] = F[5,x]<br />
  
    F[41,x] = F[42,x]<br />
  
    F[42,x] = F[16,x]*F[18,x]*F[37,x]<br />
  
    F[43,x] = F[2,x]+F[44,x]<br />
  
    F[44,x] = F[0,x]*F[2,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_{18}\! \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_{2}\! \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_{18}\! \left(x \right) F_{8}\! \left(x \right)<br />
  
    F_{8}\! \left(x \right) = F_{19}\! \left(x \right)+F_{9}\! \left(x \right)<br />
  
    F_{9}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{10}\! \left(x \right) = F_{0}\! \left(x \right)+F_{11}\! \left(x \right)<br />
  
    F_{11}\! \left(x \right) = F_{12}\! \left(x \right)<br />
  
    F_{12}\! \left(x \right) = F_{13}\! \left(x \right) F_{18}\! \left(x \right)<br />
  
    F_{13}\! \left(x \right) = \frac{F_{14}\! \left(x \right)}{F_{18}\! \left(x \right)}<br />
  
    F_{14}\! \left(x \right) = F_{15}\! \left(x \right)<br />
  
    F_{15}\! \left(x \right) = -F_{0}\! \left(x \right)+F_{16}\! \left(x \right)<br />
  
    F_{16}\! \left(x \right) = \frac{F_{17}\! \left(x \right)}{F_{18}\! \left(x \right)}<br />
  
    F_{17}\! \left(x \right) = F_{2}\! \left(x \right)<br />
  
    F_{18}\! \left(x \right) = x<br />
  
    F_{19}\! \left(x \right) = F_{20}\! \left(x \right)<br />
  
    F_{20}\! \left(x \right) = F_{0} \left(x \right)^{2} F_{18}\! \left(x \right) F_{21}\! \left(x \right)<br />
  
    F_{21}\! \left(x \right) = \frac{F_{22}\! \left(x \right)}{F_{0}\! \left(x \right) F_{18}\! \left(x \right)}<br />
  
    F_{22}\! \left(x \right) = F_{23}\! \left(x \right)<br />
  
    F_{23}\! \left(x \right) = F_{0}\! \left(x \right) F_{18}\! \left(x \right) F_{24}\! \left(x \right)<br />
  
    F_{24}\! \left(x \right) = \frac{F_{25}\! \left(x \right)}{F_{18}\! \left(x \right)}<br />
  
    F_{25}\! \left(x \right) = F_{26}\! \left(x \right)<br />
  
    F_{26}\! \left(x \right) = F_{27}\! \left(x \right)+F_{28}\! \left(x \right)<br />
  
    F_{27}\! \left(x \right) = F_{10}\! \left(x \right) F_{2}\! \left(x \right)<br />
  
    F_{28}\! \left(x \right) = F_{29}\! \left(x \right)<br />
  
    F_{29}\! \left(x \right) = F_{18}\! \left(x \right) F_{30}\! \left(x \right) F_{43}\! \left(x \right)<br />
  
    F_{30}\! \left(x \right) = \frac{F_{31}\! \left(x \right)}{F_{0}\! \left(x \right) F_{18}\! \left(x \right)}<br />
  
    F_{31}\! \left(x \right) = F_{32}\! \left(x \right)<br />
  
    F_{32}\! \left(x \right) = -F_{33}\! \left(x \right)+F_{13}\! \left(x \right)<br />
  
    F_{33}\! \left(x \right) = -F_{36}\! \left(x \right)+F_{34}\! \left(x \right)<br />
  
    F_{34}\! \left(x \right) = \frac{F_{35}\! \left(x \right)}{F_{18}\! \left(x \right)}<br />
  
    F_{35}\! \left(x \right) = F_{11}\! \left(x \right)<br />
  
    F_{36}\! \left(x \right) = F_{37}\! \left(x \right)+F_{41}\! \left(x \right)<br />
  
    F_{37}\! \left(x \right) = -F_{10}\! \left(x \right)+F_{38}\! \left(x \right)<br />
  
    F_{38}\! \left(x \right) = -F_{26}\! \left(x \right)+F_{39}\! \left(x \right)<br />
  
    F_{39}\! \left(x \right) = \frac{F_{40}\! \left(x \right)}{F_{18}\! \left(x \right)}<br />
  
    F_{40}\! \left(x \right) = F_{5}\! \left(x \right)<br />
  
    F_{41}\! \left(x \right) = F_{42}\! \left(x \right)<br />
  
    F_{42}\! \left(x \right) = F_{16}\! \left(x \right) F_{18}\! \left(x \right) F_{37}\! \left(x \right)<br />
  
    F_{43}\! \left(x \right) = F_{2}\! \left(x \right)+F_{44}\! \left(x \right)<br />
  
    F_{44}\! \left(x \right) = F_{0}\! \left(x \right) F_{2}\! \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_18(x)*F_4(x))<br />
  
    Eq(F_4(x), F_0(x) + F_5(x))<br />
  
    Eq(F_5(x), F_2(x) + F_6(x))<br />
  
    Eq(F_6(x), F_7(x))<br />
  
    Eq(F_7(x), F_18(x)*F_8(x))<br />
  
    Eq(F_8(x), F_19(x) + F_9(x))<br />
  
    Eq(F_9(x), F_10(x)*F_2(x))<br />
  
    Eq(F_10(x), F_0(x) + F_11(x))<br />
  
    Eq(F_11(x), F_12(x))<br />
  
    Eq(F_12(x), F_13(x)*F_18(x))<br />
  
    Eq(F_13(x), F_14(x)/F_18(x))<br />
  
    Eq(F_14(x), F_15(x))<br />
  
    Eq(F_15(x), -F_0(x) + F_16(x))<br />
  
    Eq(F_16(x), F_17(x)/F_18(x))<br />
  
    Eq(F_17(x), F_2(x))<br />
  
    Eq(F_18(x), x)<br />
  
    Eq(F_19(x), F_20(x))<br />
  
    Eq(F_20(x), F_0(x)**2*F_18(x)*F_21(x))<br />
  
    Eq(F_21(x), F_22(x)/(F_0(x)*F_18(x)))<br />
  
    Eq(F_22(x), F_23(x))<br />
  
    Eq(F_23(x), F_0(x)*F_18(x)*F_24(x))<br />
  
    Eq(F_24(x), F_25(x)/F_18(x))<br />
  
    Eq(F_25(x), F_26(x))<br />
  
    Eq(F_26(x), F_27(x) + F_28(x))<br />
  
    Eq(F_27(x), F_10(x)*F_2(x))<br />
  
    Eq(F_28(x), F_29(x))<br />
  
    Eq(F_29(x), F_18(x)*F_30(x)*F_43(x))<br />
  
    Eq(F_30(x), F_31(x)/(F_0(x)*F_18(x)))<br />
  
    Eq(F_31(x), F_32(x))<br />
  
    Eq(F_32(x), F_13(x) - F_33(x))<br />
  
    Eq(F_33(x), F_34(x) - F_36(x))<br />
  
    Eq(F_34(x), F_35(x)/F_18(x))<br />
  
    Eq(F_35(x), F_11(x))<br />
  
    Eq(F_36(x), F_37(x) + F_41(x))<br />
  
    Eq(F_37(x), -F_10(x) + F_38(x))<br />
  
    Eq(F_38(x), -F_26(x) + F_39(x))<br />
  
    Eq(F_39(x), F_40(x)/F_18(x))<br />
  
    Eq(F_40(x), F_5(x))<br />
  
    Eq(F_41(x), F_42(x))<br />
  
    Eq(F_42(x), F_16(x)*F_18(x)*F_37(x))<br />
  
    Eq(F_43(x), F_2(x) + F_44(x))<br />
  
    Eq(F_44(x), F_0(x)*F_2(x))<br />
  
  Pack JSON:<br />{&#34;expansion_strats&#34;: [[{&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;extra_basis&#34;: [], &#34;ignore_parent&#34;: false, &#34;maxreqlen&#34;: 1, &#34;one_cell_only&#34;: false, &#34;strategy_class&#34;: &#34;CellInsertionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;dirs&#34;: [0, 1, 2, 3], &#34;ignore_parent&#34;: false, &#34;partial&#34;: false, &#34;point_only&#34;: false, &#34;strategy_class&#34;: &#34;PatternPlacementFactory&#34;}]], &#34;inferral_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.obstruction_inferral&#34;, &#34;strategy_class&#34;: &#34;ObstructionTransitivityFactory&#34;}], &#34;initial_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.rearrange_assumption&#34;, &#34;strategy_class&#34;: &#34;RearrangeAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.assumption_insertion&#34;, &#34;strategy_class&#34;: &#34;AddAssumptionFactory&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;interleaving&#34;: null, &#34;strategy_class&#34;: &#34;FactorFactory&#34;, &#34;tracked&#34;: false, &#34;unions&#34;: false, &#34;workable&#34;: true}, {&#34;class_module&#34;: &#34;tilings.strategies.fusion.fusion&#34;, &#34;strategy_class&#34;: &#34;FusionFactory&#34;, &#34;tracked&#34;: true}], &#34;iterative&#34;: false, &#34;name&#34;: &#34;point_placements_tracked_fusion&#34;, &#34;symmetries&#34;: [], &#34;ver_strats&#34;: [{&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}, {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;InsertionEncodingVerificationStrategy&#34;}, {&#34;basis&#34;: [], &#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;OneByOneVerificationStrategy&#34;, &#34;symmetry&#34;: false}, {&#34;basis&#34;: [], &#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;LocallyFactorableVerificationStrategy&#34;, &#34;symmetry&#34;: false}]}<br />
  Specification JSON:<br />{&#34;root&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [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, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}], &#34;requirements&#34;: []}, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;idx&#34;: 0, &#34;original_rule&#34;: {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#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, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 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{&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: []}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_insertion&#34;, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}], &#34;ignore_parent&#34;: false, &#34;strategy_class&#34;: &#34;RequirementInsertionStrategy&#34;}}, &#34;rule_class&#34;: &#34;ReverseRule&#34;}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;idx&#34;: 1, &#34;original_rule&#34;: {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 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{&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1], &#34;pos&#34;: [[0, 0], [0, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [0, 1, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[0, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 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3], [5, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, &#34;partition&#34;: [[[0, 0], [1, 0], [2, 0], [2, 1], [4, 1], [5, 0]], [[3, 2]]], &#34;strategy_class&#34;: &#34;FactorStrategy&#34;, &#34;workable&#34;: true}}, &#34;rule_class&#34;: &#34;ReverseRule&#34;}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;idx&#34;: 1, &#34;original_rule&#34;: {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}, {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], 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[1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.factor&#34;, &#34;ignore_parent&#34;: true, 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{&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [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], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}], &#34;requirements&#34;: []}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], 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{&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 2], [5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}, {&#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, 1, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}, {&#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, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 2], [3, 2], [3, 2], [3, 2], [3, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 2], [5, 2], [5, 2], [5, 2], [5, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 2], [5, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 3], [5, 3], [5, 3], [5, 3], [5, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 1]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 3], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[2, 1], [2, 1]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [0, 1, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [0, 3], [3, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[0, 3], [1, 2], [1, 3]]}, {&#34;patt&#34;: [1, 0, 2], &#34;pos&#34;: [[1, 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[1, 1], [2, 1]]}, {&#34;patt&#34;: [1, 0, 3, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 1], [1, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 3, 0, 2], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 3, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 0, 1], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 1]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 3, 1, 0], &#34;pos&#34;: [[1, 3], [2, 3], [2, 3], [4, 1]]}, {&#34;patt&#34;: [3, 0, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [1, 2, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 0, 4, 1, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 1], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 3], [1, 3], [1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [4, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[5, 0], [5, 0], [5, 0], [5, 0], [5, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 0], [3, 3]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[3, 1], [3, 3]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 2], [0, 2]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[3, 1], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [3, 1]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 1], [1, 3], [3, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: [[1, 3], [1, 3], [2, 3]]}, {&#34;patt&#34;: [0, 2, 1], &#34;pos&#34;: 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[1, 3], [1, 3], [1, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [3, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 0], [3, 0], [3, 0], [3, 0], [3, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 2]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;workable&#34;: true}}, &#34;rule_class&#34;: &#34;ReverseRule&#34;}, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;original_rule&#34;: {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;idx&#34;: 0, &#34;original_rule&#34;: {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 2]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 2]]}, {&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 2], [0, 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{&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 0], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [1, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 1], [1, 1], [1, 1], [1, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;direction&#34;: 1, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 1]]}], &#34;ignore_parent&#34;: false, &#34;include_empty&#34;: false, &#34;indices&#34;: [0], &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;}}, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;original_rule&#34;: {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}, {&#34;patt&#34;: [0], 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[0, 1], [0, 1], [0, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [0, 1], [0, 1], [0, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [3, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 1], [3, 1], [3, 1], [3, 1], [5, 1]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [3, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [3, 3], [3, 3], [3, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[3, 3], [4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[6, 0], [6, 0], [6, 0], [6, 0], [6, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[0, 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&#34;pos&#34;: [[4, 0], [4, 0], [4, 0], [4, 0], [4, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[1, 2]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;workable&#34;: true}}, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;rule_class&#34;: &#34;EquivalencePathRule&#34;, &#34;rules&#34;: [{&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;original_rule&#34;: {&#34;children&#34;: [{&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, 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0, 4, 2, 1], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 0, 4, 2, 1], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3], [4, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [0, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 2], [0, 2], [0, 2], [0, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[0, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 2], [1, 2], [1, 2], [1, 2], [1, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]]}], &#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: 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&#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [2, 1, 4, 0, 3], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}, {&#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, 1, 2], &#34;pos&#34;: [[0, 0], [0, 0], [0, 0], [0, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[0, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 0, 4, 1, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 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{&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[1, 0], [1, 0], [1, 0], [1, 0], [1, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 0], [2, 0], [2, 0], [2, 0], [2, 0]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 1], [2, 1], [2, 1], [2, 1], [2, 1]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 1]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.requirement_placement&#34;, &#34;direction&#34;: 0, &#34;gps&#34;: [{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 0]]}], &#34;ignore_parent&#34;: false, &#34;include_empty&#34;: false, &#34;indices&#34;: [0], &#34;own_col&#34;: true, &#34;own_row&#34;: true, &#34;strategy_class&#34;: &#34;RequirementPlacementStrategy&#34;}}, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;original_rule&#34;: {&#34;children&#34;: 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0], [2, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 2], [2, 2], [2, 2], [2, 2], [2, 2]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[2, 3], [2, 3], [2, 3], [2, 3], [2, 3]]}, {&#34;patt&#34;: [3, 1, 4, 0, 2], &#34;pos&#34;: [[4, 3], [4, 3], [4, 3], [4, 3], [4, 3]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[2, 3]]}, {&#34;patt&#34;: [0], &#34;pos&#34;: [[4, 3]]}], [{&#34;patt&#34;: [0], &#34;pos&#34;: [[3, 1]]}]]}, &#34;rule_class&#34;: &#34;Rule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.row_and_col_separation&#34;, &#34;ignore_parent&#34;: true, &#34;inferrable&#34;: true, &#34;possibly_empty&#34;: false, &#34;strategy_class&#34;: &#34;RowColumnSeparationStrategy&#34;, &#34;workable&#34;: true}}, &#34;rule_class&#34;: &#34;EquivalenceRule&#34;}]}, {&#34;class_module&#34;: &#34;comb_spec_searcher.strategies.rule&#34;, &#34;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#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;rule_class&#34;: &#34;VerificationRule&#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;comb_class&#34;: {&#34;assumptions&#34;: [], &#34;class_module&#34;: &#34;tilings.tiling&#34;, &#34;comb_class&#34;: &#34;Tiling&#34;, &#34;obstructions&#34;: [{&#34;patt&#34;: [0, 1], &#34;pos&#34;: [[0, 0], [0, 0]]}, {&#34;patt&#34;: [1, 0], &#34;pos&#34;: [[0, 0], [0, 0]]}], &#34;requirements&#34;: [[{&#34;patt&#34;: [0], &#34;pos&#34;: [[0, 0]]}]]}, &#34;rule_class&#34;: &#34;VerificationRule&#34;, &#34;strategy&#34;: {&#34;class_module&#34;: &#34;tilings.strategies.verification&#34;, &#34;strategy_class&#34;: &#34;BasicVerificationStrategy&#34;}}]}<br /><br />